Selamat datang di Blog Elearning matematika, tempat belajar matematika secara online. Kali ini kita akan membahas pelajaran matematika bab integral trigonometri untuk siswa kelas XII SMA. Silahkan kamu pelajari materi ini kemudian kalau kamu ingin berlatih dan menguji penguasaan kompetensi matematika anda bab integral trigonometri ini, kamu bisa berlatih mengerjakan soal di bawahnya.
Pengertian Integral fungsi trigonometri
Integral trigonometri atau lebih dikenal dengan Integral fungsi trigonometri adalah integral yang memuat fungsi trigonometri. Integral merupakan invers atau kebalikan dari turunan fungsi.
Rumus - rumus Dasar Integral Trigonometri
Berikut ini rumus-rumus dasar yang sering digunakan dalam mencari solusi integral trigonometri,
Rumus-rumus Dasar Integral Trigonometri
Rumus-rumus dasar integral trigonometri diatas harus selalu di ingat ya! Cara paling efektif uagar cepat hafal dan paham dengan rumus-rumus di atas adalah dengan mengerjakan latihan soal.
Contoh Soal dan Pembahasan Integral tak tentu Fungsi Trigonometri
Tentukanlah solusi integral trigonometri di bawah ini !
1.![integral trigonometri type 1](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_s0BddVufyPlrxhEWI4xRU5477jLzfz-it9Fr4rQaCBmRsmZ6ene7LbRUCRpU8uG1Vfrad0AJS5BUXorFgW6rymQPNUwmTvA4NTrJ9GChZojlBBzQvi1Nj1iVmMduDPZcmEXVPjDPAfgcDuxLbLd2_uDPtVBcXI4VVxnqxLLJ7dByDz1GBXN2ULPE3eTOl4QzMLGkymxY5V_oUjPLgXPtS4nEIYaBqJnAYASRpnOTCliGH36QpXGnzMyAJcAD7_8Nk=s0-d)
[Penyelesaian]
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vUBQGovm3WqftZdsyYbB9tmlJvVHJsxTUNLdY4PMm1oN9m7ETBOEY89YlNi0mKk1QR2dE2lk7CRhoYVYTx29OuVjm8Kx8RNWByRXbueY92mhBk4hRjcwdv3f5-_X5X0Fp9Kw9loZ4fla5nXHSL4m5UOkcWGzYjzCDoBSGU5rkNME96GjK3TPFOXNENT0kj_kvdxeCTau3vQuTQjlcmiqjBUMIswLyMLmoBWflwtVuWfkzxtwKixqT1ZrvufS_TBVxfAuNhLXHfrogW7L23GZvkGEzv3SwcC64Pv0kXDW5oH0azcLjKe-uEk_BJ3XMxFJ06KO0ufZpgNBU6aRJcpc5sBcnmVezHLO1XDBVfLK2Izve3TUOWTA=s0-d)
2.
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3.
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4.
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5.
[Penyelesaian]
Gunakan rumus perkalian trigonomteri sinus dan cosinus, sehingga:
![Penyelesaian integral trigonometri 5](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sCcYeN_4R3k6YF4tnkG9VNhlSbxDdVabZHcXdESYPgIDSPzFbEz6Oj3PpAK-JIGO9EShnDj1pfx02a91--XMXzoKODLBuDKvcLUJOxypVNVx4zBam9-ebZs5080Kbq6JKJPZQQitjjU9hAR5UDZt-GV9UKGZayZG88zSgyh2MSOb6BMCdm51qSLFpwBbFQC3k2dUuuvxzVX5AuFlt_uVXVz09c7ypRAn4Lk41yyNYr_PYFb6aJHLGrCr-x37g5jfR0blotdByGAjeklR8cj0e8lDP0uMrPYsnAndFsm-Z2nYVuSFM9Vm_L2fYjNexsxAcZR78vSQP_XznePiXCPpkjPLplCEgO5u4MZl-V-bu24yD8BkFreEawXah0vU6MqebgiVQlwVH2lBmjVg4VMVBe6lDI7P4v7ZZrQQhAoeuLRjJGFm66ASlettAi748WbGhdQTtnHww-j1QTtQBb664-Wt05Cz_TR_fj8h4bOHyOjaMSoFkBsm1gJkZ1R2zoYu4A2RciixPytJADYro-AwsV02lSfNO75ZP6MNn-n2Pr_aPxJHNbDoq6fsCUJlz1RQaAJoCva4uGuUZ9qzi5Udw=s0-d)
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tEhAuFguoVVXnMpCo8JHqxncmaK9aECI--JYvvbT_zWfOO4nbcdQCy5UAbh0YH-gHbe9hXdd47fzpOhlBxupS3DDSV2kRTw4ob-jXNqgdPr-f3VgcMH-68j8tNMpxP0AJwrz8K40dwNpDMIM53UaQYOpLnARhav_uVzybefsFP1HWaNVD52VXxcbFjle5ov0Q94T-lim_f8tXDplPOoCq93Dbs5cw5Vtsjy-aODqqHk3j2PbTaGxRbvTx0d2hzSca9izjdGtK6FNdCUARePtaO4Z3UxkB-3sIw6KTMCtr9i45tAUkG5YnvB5twxtoETXhJcYWA7_d5ArnUVVG8UWa2T_oy_NlggRg96qZJLAJZlFrVlbbbitHY1IitM_4CJ27116jD5OPXE8R54xDVJCduXe11K27zKvArPowQiuwvd1KptjvB8DbBdPkQkzoRHdf_5V1pZT2TaemWDgLlYIiHiqu9_OJqewS_ZeDMnqwL8FwcqhngnYHl9v13Vw=s0-d)
6.![integral trigonometri soal 6](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_snIu3kiGRozegKrV4BovasVHv-LV1bldsZU2TL7sddAzHpn5xK-MYciLW1RnTPmNFjXgfQ9KRrTN2uPD8g2pHMzdJr-ZZUammd4dUHsAz6wxl9cAlwrcwnHOFW2dRq2p05NFJzOkq9imcbihoDuHWlI4JUK8bAIqzIY4e8ZIR-cNifXSShVcI2o-_e5NxNHDwk3OWR3TGHV3pBR-82kztnozdAo9aO99ZkylBZdyZrKqAcHlild5PwqM-Fk_PwwT3VLb8=s0-d)
[Penyelesaian]
Gunakan rumus perkalian trigonomteri sinus dan cosinus, sehingga:
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_to3wZsSx0744BuSCOEBP4sNHCbLdrJgmBMNrD-bwjMfjnSQDihn60Cdd1o4c4qD7Ne1REL4B6WvKobZ3BJwmzEMPgavqwdG3AqG2dwE48M2ytvCvI9dbi8NxHrtH0BBz9TJMGr6Yc8WLknk3X5G0BKEJlUoyxmGuvuJmhLCvP9k16rLb_wXgHRhKKc-JP_d5GW52n3u51mQzHi5-OKUXWWXzxXZnnCjWB6zzGpiQPcSJy-WMGMzCNgwhRhgOAU62IHuP4t7cobZw---A9B7986LdmPEecvi1JWER7QiMAAcKBVWm6j-k223SL7yTULG-cnyYEUTvVq71wHoSAVIUOSiZSg_lBSgFrZKWHJi91NPS7-F-JoWwryDJewbu2nuU0-XbOeL1wJQ-VtgwvlWTPb2e4DJF0-sg2VRzADSLivdec93rnA409r_ITgI5JPP8Wvc7YkrB4LtayKBL9GK6ifGIkQTUBwuorksm40XoH4GO9DNF3vXNmr6KEgOvQqpzxDgn1XkEDsbz8fXOgdGRC8NuvgLsZZ9myFq2C9NothifrB0wTLGn-R1rVARgDasSJCMYinMR92odMbOlLlBP32OpdfawOrDZI6hM6LhJNu3evfyDr1hmZl5U2681oCXpLwpr14-es3DZ9ScczxZX7LwNGweLFmc8yUWxrD_7EVpSQwvs241PI12MVDOobSe_1mo_kDklYxRvrUdQtd_d9cpVVaMV8zj4h0JE-wJzdSRpYPmuQZwDXsflaslG71=s0-d)
![pembahasan soal 6 integral trigonometri](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vrG7NsTnkGUqnxWvABqRsVwC2a9-gIWL7VjIkh3GCfyPzEt86I-pbfRXpkjUx9DKB7WlVK3c6nwDtwfSg4JmUnn2PzN6MJ7bHruaiLzkTNAYIZDhPOxkbep8gRke-4UjdE2rbKoPFULfp_jQ7aht_tLEygFrTn1BHZca7BbeOwCOf3WhaNFY8AK5REZyoY1en2SoogklH2UpksnPUYEhVb5aaLAeh-lrdQdjwDhMpD5RXM0YvMmm4NrnIa2rrUiGcuC1jOadwXqxTMBnk=s0-d)
7.
[Penyelesaian]
Gunakan rumus jumlah kuadrat suku dua,
![pembahasan integral trigonometri 7](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uke0t8i03p3cYkuKcl1CL8uoWAAzhSgXiRD-g3aYrdwETWCmf_BRdEd2GT78_oh_iFhgroBr_ikJuOv8nVeFUrqDjTLNYHXKbeGURA6g9O20wJgKz4zKhY2BvVMb6ljUujN2i3s8cXUuVjfPTzvwIOqZcFCKGNXsdHo8fSWckjQX5iQVqQpZSYzLdNRC1BGoxzaFPjW6N2TxEX4qM6QpwOYkftLLPrZROyCGuHkhdBNo44NbGnyGahirABMKzYIBXhO6XxyJdDVV9tuwyJ9lYsCHOMmH8dCZIGYizPvh2pe-ZV8Fxi0iskhDHRlf2uvVAbdqLOICrhGrZglu8KCX-LFcafGV_rwOCjn64-1BASbP0BovifYHxBE7OFhCWS7ioanWo0Eldd2Vqyet8lllDwrgaI3CBCk0jzvpxHBy-yXufRJKQKW3zFkDgoQaJ0ArBfSrlms_Orm3TVmubyk1x9=s0-d)
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vV-71Du5FF4TsAc0bqGymK9NZj6kKugPKbh-JN5a5v0caYyBhn_plM6O5AC-rUCK2ZxRbNbx9l6llN09L7MSrDhoWv4c-79GFCO_Qk1dBQzGyzfZ3_Jg1HqiDXi2c27a5Bkw2T1yTifGIrbiclX-pWucehO1caB16JmjQTj4OvwZnGSK6nlePabnd0nvYyJf6Jo5NabfpwYlHwtQheulnl6LQuA0mZWC5fH_fW5RLHG-XE2gu_wQ_8EatQCe1NvHeA3b5XqArosjhEvdyUflU3lGTti-fSrPU9QDOjGAnn2UtM5HnrGnrH02DadDxVzmoPQzBX=s0-d)
8.
[Penyelesaian]
Seperti soal no 7 gunakan rumus jumlah kuadrat suku dua,
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sGOB0MlgPBO1mR6DW5ITHZ1BoemA7_b6Ir5cyqiAjStJs-BGEnZAU5eT62DyQdscM4UMBSTcaxlIIZKXbSuireDvQrPpxaQI7P91tb_c87xFnBSAS_hK9sLU9CZG2j9n9cnn0VxJGx0l5bJntKgiPpX9w48R7vs7JDZ7sUAguppQZ-y9kKqswL3RppwMr_ldiSNEgcHwluZ0MaFKyFXuHxHpLaOCsTCdLJdWCtYOvD7i0XfeHwWKkOFt28iwa28OpYV2G02TR4zPm-V3Uye3llck6RWzbJTrEp9wKcTcl6MtTpzK_09U61LVoosFwMrPm-ozPi4zcW9Bbt9DepuQBujaWQynPpL21gN9Jo9UrIwgcWOjcd8zLAeMQYurjZuCNuiNUgF8QmZrJYO6qNmgYbmFnlpqA5zelR-Jl7-QaP_uOrBwloWwRyCu1GPufIZdm0gdYFp4j5NMlFXw1Cm5hrpycTPTwCGc4EFz-5xAgVF1ItVGrtvNG_-VsewrvplGxpxo_WyniO28UEi2OCmvScn4tGbeDhagbybOGLc19m1kBLKpyyRFYgy3AC51TzMS4u0pea5fYYarlYPXaIUS4dwNM8cmnh9Q=s0-d)
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vYahmRgeq8cpN7Qvo3cdD5gjCoQpez6aN9IEynJ9H0i0Vc7xBmyEWb8verRDsa44ap3Cbr944-vvucwhnLS08QLfooj8eRRVx5qK8L6NSmocslbyyHo3g4qjubEBggPa-62UMqq7V0hzxMJhwlabkGopQAmTnP_fi1EiTfJX54xjADuMfo8CZZ7PpBp-Sy2o1IfxFcUvuyuF5y-ZTMEXDpG1oTC77G1wBz3K3zwjsYZmS6G-nBB5gV2VfNCQHQGd-83qosqHPBPGijXYRDTcEo9gqSHt77HBc-a_awpIvDN9L__k3fFr1eq_rM5ULg-xz-nHs0FG3qFqW8JP3T0UpG4XzpzRcidr7Bfb5xotalTJc_qUPNuykbhWeJiD0dTGFLG6Xl_n0_1ovEuFiN9vaZqjgixzXOtuSX=s0-d)
9.![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_v7KNWMmA_F1zxaQuh1ik6o_mzu8Zjv--E-_6jP94lu8ehSznsQacxAhVBp9liwYsFh02QThJaIIbzwWt3ZAL-ReaNnq5lYTKAXn9Lix_Fuvz2zBPVjv1vMLPvWxxqhudbN1JR2mvxW_Vk2IYqcNImQWzBm2hdwILA9H5-6eNdNOLUQbPqKNsXRJqzhi-1WZ9XaCrP_rw96L_FzOm53KgWksd1YzATQ7oStbpUsN67Kj1XHU-dkY0vH-W5m0YBXWdku_eorUPf-IJ6uckTZSOJUVNuv=s0-d)
[Penyelesaian]
Pada soal no 9 ini rumus-rumus pendukung yang dipakai adalah sudut rangkap dua cosinus dan rumus selisih kuadrat,
![integral trigonometri contoh 9](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sI3ri3AgT3YZsM1z84S46LbHy9Co0FGlT_ipe2FWldeKm3-lHbG-Z51G0-wiL3nIv_rvTtzVxWhrYSMH7U9T0wDEuJysiwXSX8uyvBP8YiUjpXQ2sm_zHWxOkcQ6r4pfvlpBmeoq-AMoZ--kx33daFibpde6VHYNRwKb0YvZx0PnmKS46spxXMflVlYj93t6nedSrrki3tgwng2bYKJUicO4RqFCXL247XP-Z9khIfbsWBMRtIGZzOt9JW3Z0NiDCLGyDkYpGJ5DHiU4If_lnqfAhVlos1FNJd8EFsoqeGoUC3Qj8cTbnguAHrrRxSYdHmWFPqYainIZtsSV3j8rHaXR76jXAtzB_BSzBam8lbo3nJce4PQ5Yjsxpnp_zx_YCYC5hV5O2_z0RpDAvB7LkW7cXPQtRis2qN7f8TjHqyYUlPv4lqeC1ZJtWIBa6f06xknY1FgUWMQEcOIjjPxsFga7YE2sROFpXW953gc6MdFHm06TDOh79QAWzAp8Dj9HvHSlb02KwpOhbQGj3te9m4M75KnQlnB_HIwDeuznmz1hmSXdGq4anCgCQjg3NBzWssFCcbR2m3pslBdMkHHbIqqtSJeEC4FSLx2rbPOwVu0tVKjzIkuq2pjIpE-2-a1LTPoPDGqHSrmu2gmr8lmUsI9UqlLWuJO8-GxF1I4FaSQ1Uon-kQmNIZJ73jFuSuig=s0-d)
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tFAHuNLXLIR0hLbL9vz52Do13kTnBwyuPygzvwa-2MQ1M5bovUROkJB_tDFgUpzw6k4be2Ql-LkDKImLci89Q8mpIZy836Y8Ll-FAN_jUPgQtpjQMSw4gu4f-nHhKnQGiqoilqUcU5nkQkFs9G2On1uG-ee6C1gUnH-OrYopNfQ08TV3ivp6ENUOdYB2Tzk81eETQ7h_d2Hfu4PAMUR5BOYaTS3LgShZ-8LW-oxNRlp0T9i_eF2BTVnnwx4v1WQHCspk8avphr_IukRbrDtz91DCa0kVw9_Tjd1-Ss0Tvy0cYn66DiiQFoq1Zq7gtfBwb8K-W0xHanGz2NVLz9Acg3-InC8fzNhKtSivWtkM-gwOhcBVIjfo_04ktfQHDZekzJ0YUB3rgXuAZIuRZaXwQVEErv8kxTjlI1YxSeYzScxLEE3KABOFhGaGOKSSjuhyIFGpLGqaDP9B3gbi6PkNrZUljMf78ICAqWDfHwujLb2Pll7uD6xFG-k03EzZ-j8wklB9tCa2ykk2Nxfay9nAxrXCly_myPVLVpk8r3h3LRkPX_CRe4sDuiG0vEIRzu-qHQ=s0-d)
Integral Trigonometri Tertentu
Seperti halnya integral tertentu aljabar metode penyelesaian soal integral trigonometri tertentu juga tidak jauh berbeda, banyak rumus-rumus trigonometri yang harus anda ingat! Agar lebih jelas perhatikan contoh soal dibawah ini.
Soal-soal dan Pembahasan Integral Trigonometri Tertentu
Hitunglah integral trigonometri dibawah ini!
1.![integral trigonometri tertentu 1](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uAZ6qWrTwpErohFCvHmWT3FF85h70-UEV16pxTxKT5uv_Lv33H0zRtHI7O1LE3-mLBmeWsRDXWZSgqMtj_CWyH4MWDlQjUcc6jdJyn2xHQdyuT0CckZq7PONj4P9uH9F85AIrPwtz2m_m6OSz0bCmej-EG94Ah1z0mtp5u7k2q4YxFYEXNTIiApWIOxPMrpsHuPOlBi5VGykvT4hcA_mFm6itwuH9OZ_bqCjlyuGkj-uBkWpmGpQgGc_LZP-KbY4yJbwHhiK3ILHunC3BBM8rAYyiwtw=s0-d)
[Penyelesaian]
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vE5Dyny1yycF0-CfzDSEMfcpsg5yhFwf6fp2frD5L-e-Y9uyBaE8bdQ36tNKyYbOsZunGRjUPLmz7aVJsGOS_bccs7rj7PuRbuJkEpm9joy3Hv8Bpq8hhmNftjv3DSfYWaQo1GWpKr63BRaxXKwxrbnDQcUHx4CzgETmjq3DDjvYKWIc_dC03YIwppciR8UAKnkJ0hq1bOhgJxlC-4feVjER66rOHAhINOHk7YlhDpwu026iftPo_mZl6OMeM0cCqLzHuYfP-nKcVjvPAE3-HfMXYByg_rMxstpM5kQbueKcPId6sfzOY8ko79NIALSHONmpvdmvNjqqoxq3myrkELxOgeM6DiwplQ_HAr02TFHE15IqDRaL1ZUCmqOP-qg9ua_k3CIt3BccVwgHU0ucW3jcbaGmzqn_A5bDditIAoln5OP8nT4R8CzmgLOm_BclHs9krPaZ9NmlYyxQ73x_2mmcJe-8YMEqjdT0MNnM3tiLRbHwEpNmp6DWl9TPf9naszX2YEVqgwuB_--GYZKiikKerDwApC1tZivfKlAfDPx587FIOt78KEr43W5843RsLfKPO0PuO9s0K9oiaIikomZPopKhRAi0avPgMlb6e_nmVd-MS4jG5NFtnxlhxGhoY_zWiWEQP04UBKjLa5XRyy=s0-d)
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uoTb_lZwH83l391PUYawwAOROmhxfOsA8LWA3mqisr6ycGNVQwws8nfYpqAtOeCJo2oWwCzTRmEbJYy1h0l0hzUymMJe5Veyvp8E479LSm4N-A26yIcHx3F1fo_f5QzDZMSR5GsJi_6uDeKLSStSPezNHdvyun4rW1DMg9PL1kq5ufoosAk8jGxN18PwfmfYxb1xCN9_u_f-2g_vlrsftwpMUgwG3pJetN4HiJixfEhmiZpIvBPJBjlfgfpr7g6XnZfDDm-wnZIHLQayKP2A4wOahY-lRZevJ5s-JcyGZ-D7Bx3v-XU94VDsc2A4rCvo-tSpj50FKWScqPVUdGX02ajQXmhpJTrwszU5EOpklPS34Coc9wHGBhYq0=s0-d)
2.![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_uo8U_VtqwiuBfvPOUEtdsmROpfI1OrcoUCMHPuw2PJK77IXQNbJ1mrFpuYRCd71OG9VWA3rFYq7AbqhEGnpalNGaAkZQKUBYi4g2A3kWfE2MtsdfWuNqoWFu7L8kPhK36cKDsB_OJXlSJbw34HzpVgeyUgNIcDIWV1Dtx2-bmtbJWEc7VTRSGWfQyNr4xrSB76wkBuvctd9i68Maw5LLs7OwVBHepexhiuonbrO1sXSf_ICZmdHtv6Qs2gGOOE59pdPwhP2dQCTMofPK0NXwnfAMd95I0Dml5U6uao43T-F_HcxNDavsxYdg=s0-d)
[Penyelesaian]
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vr0rtgljdU2QllOuaC_BQKtfOinQ8KvpkZd_qwX7tbpFMLlgmh5f6p2RFI8uo61stZTi6ERjO1ljBcMe8HMomnsTJZuI-iE-b9jtMLYRHyn_iKCRLgB2Hu91htb6F4CHLincrRKKCGjUArR_LoY5ffzYbfzw_ugYidwv_wSBVqRj0sbXVD1aPbrp5TLeYNOyee2qKSLIs_xkI6yU_gdqYMlZP_4OSjVp-0kWiMxecdAxn-MSWVELEsewm6RtG-SnXLtLN28BjE6FC7U1GorP0FgzmklX2lORKXjpV_S7OzUE5jLt7A6nxm99v6LXrmCp_JOrrZsgJOTCmg7KeQt5Hmd8uPQ1BbUq2Cbfynf8C8smrUt6s_TB20R9dUPJjJFySQLVriQgYbXoL4afEK5AlE0z92iYGXurI8Ef0Xv54Nn-KgJRlmDFqga8UEjE06PcFv1_GdCFD12xN40mnNEPHahKXy8h6tP1z03hVaTq87y9bZrqfkAZhjT1Hn3NwYXFZdNYtWDlhTdgAIu6Dj5MncLEWMikG67Qp-_KcDyF0DMsfPWi3mBDqzVbQd7y-U_s3zp2XwbvIcN67d19n1ZvAdMKL0IKBpFyz8fufZtkdWjhPmkXKzd4PkWV0h4IdrCFWsFkv3wqOnewBnVG0jCjVq1ya17Z7Z87prrTLtvhR5CzlGTWZq0t-I27Z_ZGfL=s0-d)
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3.![soal integral trigonomteri 3](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vWKrjB7VZKL_VoEVR5_woL_PBz3h10XPY1Niw39fNdFmmKCp3vrQ9kMzM9m-4rs2k0k74nSzbSTu89qqCm5B1eXt4m0hxkJkrpMV_qWSuCOWLRnQ3ju-aQIIBbHrcyk93YJ3NUkGV3-BLkx_qgDToJ_a-0Xfd2WDjg0wubE6rj2wZr8oVOn4eEcs0ijh0dsohsUjvMMuUUQHZQX7XfBYzbPEIDXmHApyuSbmMED3jIzYrMm1vQDAUQWYvKkOacV445oOd8GZ6p0y7V_PwBC9jQ9UW0bTTpy9E2XZpNUbloSdCuzNZFh-I=s0-d)
[Penyelesaian]
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_ssURnpBNyIlclp0rPI6JPZBRu8aHPiDBjai2vqUhH74aLof8g5eydhbghAyNdPEr58sRrKAxZkvl4QE8BjXDdtNrO2qFv7A1dAq5VnY1O4YWk08LAt9vdhc2b1_yPCmo86P_d50kV13snpAQXavjeprjd237D7t-QplGB2dest-Da9gmtG8o9wlk2Cy2u-gg1YWRl2DMTQwrLYPfe2LCAn4FCzp3sgifyOOu8xJM4fr7-yEVgsa_6Pqi4Th1fBoh5Abx-Q6MKH46iQ-S1WTaypAR_eVF8M6sG7-r0W42lv13y8oebJrWH3pZ6heE_zc35o36GIiAyuO-JeRyv0mzo40MKmpXcQc3r3d5fXWnET_EQLeQdkOcI9CZkJ0fBcComjXfc8GGfLG_fAAhnsTl6pKYdgNTiEadeJFaHEHwNczQw7N3sB00hjZ97MCkDMluYeOPgeq4Pmdwe7RmkdUF70CFmsr9l0Hnz7CUHCZ9iIu7JVJ3Yd_8BZ5HTr0i8hl86-F3f9rhHI_u3dxJe7paYVi3FGvaJC-3uDAnT2JdAYEQnATgJLj8R8cc0TSVk8lvvKricMgjxBytJyqrtX8SRKFqoghOJck0t9ERn1Jsk2NDe0EyhrNNbjRwVwn04m_hPxS3ns6oCHOdnn02ZZjHXBbWYFUzXy2qrlDFiTgfTsf47PY1ptzzQXYWl7WNDOTw=s0-d)
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sVHY2eegRIcY0jIy6RD-iZVk0UajBg4n5dY5FKLvn4btkO5rA04SK0SYRNr38a1j-_hOhHqVytYJKbvxdHtvOTivL0D1IvTp-PZ-bCnykbL7ieiDbP1rsrIOF0m5FXZL22a82kHSP9YGsrJs5yZXU4hqujUypG3C7Zpow398CozxvmHggfEAlIm4SCb3hQz7r8gT2CK9vdRLWORpdvheSxvwwMGDr4z8uYdpaBICfZqfL-IsKRw6A8xTjnaWM76nvXc4Hdi5pAmOegyLN59meDl4LPdeyt2DEu7URPVeKiC4-S0v1gM2RGbqNWUD3meyKnc1yymci0ux8S058EFuYsSee2YMmmsw13iQhJn0l2cm01j9gBUj7GiY8-t7p9f23gXMrLHkBcDXmL82HpVXSc-pzIv0gMuxi1_hoIZjm1OuLnN7ZWRELljyn31eKzuY-ohCuJbxT0EXLY4YiZOHVg0Ivkxb_1woZ5v8vjZXXFrp9FxwBeCE1BfEi5ISr11LXWRXEezMD5OSqBn78uJTID5w-mKzs6xnvhL_J8F40QhbMFp1t_vm_PyFqHwoZ24uP6vSIxevF--oddYzimnjJCTIWdxYhIlNU2TKGvAROlqLrSahY9iHpYNCUcKlsG_CFGh3mYvKp0jaM5luXfbcP0F4C4hIopIwmThQbTzO5NUBhWUakuebSsbN6GAigSa0go83xU3OTEfx-ppcweND2Y_YgQ_LM4UZ7YnJTEZTrElb-aJ-WjtddCsBiTV3FVuDUDorzqEN--gdODvEQmb4ZydzFDNmsPO-5ncr_BWOLjseoY9PbeOZpXihUzEh12CEl3GrW8S2AsxiilBBvV2ahwhG8dpckG-Cr9pRkuAplphLQEaDki8DWQZQhpRI2hCsL_63klbg=s0-d)
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_v4PfGaDfPQ8a6s97FWZfgja7wCu12giljmKFofYTRLDAhlP38PNzbF4vP6v4-ZbeGXfPlZeCtTFwJWbKf3BFh4SzLZG8hHQGcvb8j735P9073kXrHkWdQ4yzF-WzcGCZk8RzyIGyPL5Ijl2jmNwTxJT7pAEStL_Db8y2MBQewgSqsIq_isZZHFmI0nsSRyHE6V32lT25dsbzFdKGi9YNydpySbhpMDLKHdN8N8dSQBFoUAONf4ocqK-3gIxZZUL-vwyU_Qc8VCNoKjelBFWOs3Y2pYFkCBIOJarFnoF8zq4PpJuy6JoyzUvVhzuNej6Jbt-uUC_hQr1eCtKJuEAGFdnUbbmJuaeUG0WwF6WEUJk1u3B2C67_Au0BTswkG6VLAxC5IGFS0G2Bm1dCCnIfqOSavruCj0M__YCWuVyNI8DjM74XJSR-hWgcwAunvkSZwW6mxBvtaI5dzoY7RcrLfO-J1YvXjIBtnpSJFnrGJpBVtnL7XilAk_Qw9cmSjKTSuetsWI7QiCJL_ylqGRbVB_HJYDHT7CK8-G1h-4cQQWa65J7n1-Mm2Fv8sf0dJYLJvG9ptjAmujztv-JIN2LolMVIfN_Cl_JHnpnd7rNqDJ8Kg3AoYbGjelj8eGIzmToGeCDdvKIJ6wH23nvxYw3j8nzt1LtghPcLE1JBFpQh3CaLyJ8BOSsZeyYTGrkoidd_wUxo38byAfuNLb93bObkDUgVBMIteLiX-1kQ0VG2rqnHOj_pzbvXGZO-QimLGSu0bt4_QsC-yXCmCKtuzunpuS6yPnN-rx8eviMYNF_0bs7LHL9oL2SKh-3XJhdYyzWHhpzn_dKFw25aPcfIt6OdmTSKNzs4U432MJQO1LTTrM1lMSyAwkQfrJ9xW_lgUU15rr=s0-d)
4.![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sBmIfmWMRJWwXZmpNwu47hMjK4HUiBIrKKJoJ8NTMqwCZ5xsBBon49NKJIvFTV4PYypq21AZUqa2XZMVcjli624XRl9CIoCEK6bUJcFBDfhIOfVMUs6iLHQquzoKPWw3KC_1e16PPMUZ4Eis8JEOjYLpRnZbew3GLwWkF8hIaWZ4zZb1ngn8Yy7BFfyy_w4ut7l7OZj3dSwkCsUMDph0Mkwn-JDq-QlJ6TH4tNIKr5nUMoWnQ15THkGc6qSiHRFVGlreY=s0-d)
[penyelesaian]
![](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sqnwd8BEe9Rny91jVsVuZ9vFGw7iN0BhMSgvFCjTs_3kQrfuifCLAMlJgf6y_dzoH-N7FEFpec_jH2hl4RDOB7PGBQxu0b7yxFXoFMBbxw6MjRh5jfFHY0Mr2xASw52vWgW7PGR42GTctafOYFGsF8oJ-4QJ51CBt807g5tOhjmOPMZjZ6cMQ7zNHwt2BBWNbzLomlzVA8gO1LeulJhgTxYKcZzXQdbwS-M6wB06gW-HTqgNhcTT4Rv3ADSMKox3ucKQG83YGsYbKwXszZz3e67kZII-b3fycFOWWbxrtQDHiFZ70SrSwmAZfskOQyI4TMcCn6-wuBx4_gdTlvJ-vmwk9SaNqdTzcK3ETcQwoGRfqg96ZFepawoVLZJ7uQKi17Mq2Milq3h3BAWC5bvUFKl_ro82cNqq3z_TSnM90GZxeW-jmih_lA_rvj7MJsF15RJt_60XabKhXnuoXc_Ki7OREAMKn8QKmhd4p62PEQktz9yZ_BlA1x2qNpPFEH20k2fjfsZN7k0susReXtn_17fxFANZxmmjTAv1UNikw=s0-d)
![soal dan penyelesaian integral trigonometri tertentu 4](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_swGZEMWz3ymSFa3J2ZTTM8CHFfKtPh7VG8XfPHh-6Zs_TPRQl46MCVnixwgiNi2nUKWS026Mly8vf2F35woPlkyvvhuHUsH8sY0BrFN3sPLNZsfWKtlOMGIab6qbuOKPukWGx8v4sJTN3zz9OkEE0wE4QwbAJYVOdBOP1j_ghJCgeYDdHpAo1_a3iIT7qnhVLRR6u6w2ffc2espG-sM-6Or0ABMf872pELGNkXxW9rOAmoLnKpg9wUMN5hKGdBc0ZTJSLGOa8DWzOSiqHCq_o9hSw25k4Xe2wvmpkvRjkh9nUK-MKT6a0dwF4joc1FEeVmLZfv7tENbS8dGcJfl8WSEXavcDKnjXHiYLRl7Q5HBulNuoP71ulbS3fQucZpeH2jRlAJFsJKGIBJvQnedk3NInhcod7vCDMHAtsmzPLV3Ur7xzO1QBXS5yjdFt0dT4VZ7kmIKQLKGBuVBBqgw4q0qC85=s0-d)
Semoga materi integral trigonometri ini dapat memberi manfaat.
Materi Terkait yang perlu anda pelajari :
□ Integral Tak Tentu
□ Integral parsial
□ Integral Kalkulus
□ Integral substitusi
□ Integral tertentu