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25 January, 20:06

Integrate

∫cos²x sinx dx

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Answers (1)
  1. 25 January, 21:31
    0
    -⅓ cos³ x + C

    Explanation:

    ∫ cos² x sin x dx

    If u = cos x, then du = - sin dx.

    ∫ - u² du

    Integrate using power rule:

    -⅓ u³ + C

    Substitute back:

    -⅓ cos³ x + C
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