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Math Help - evaluating integrals

  1. #1
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    evaluating integrals

    I have two integrals I havent been able to evaluate from my last homework assignment. here they are. would some one be able to show how these two are done?

    integral sin^(2)x cos^(5)x dx

    integral x ln(1+x) dx
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  2. #2
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    Quote Originally Posted by AnnaBee123 View Post
    integral sin^(2)x cos^(5)x dx

    \sin^2{x}\cos^5{x} = \sin^2{x}(1-\sin^2{x})^2 \cos{x}

    expand the factors with sine, then let u = \sin{x}

    integral x ln(1+x) dx

    integration by parts ...

    u = \ln(1+x) , dv = x \, dx
    .
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