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kashlikov49
@kashlikov49
March 2022
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Найти неопределённый интеграл под номером 8
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Vas61
Sin²xctg⁴x=sin²xcos⁴x/sin⁴x=cos⁴x/sin²x
∫dx/sin²xctg⁴x=∫sin²xdx/cos⁴x=∫tg²xdx/cos²x=|tgx=t dtgx=dt dx/cos²x=dt|=∫t²dt=t³/3+C=tg³x/3+C
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Answers & Comments
∫dx/sin²xctg⁴x=∫sin²xdx/cos⁴x=∫tg²xdx/cos²x=|tgx=t dtgx=dt dx/cos²x=dt|=∫t²dt=t³/3+C=tg³x/3+C