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Math Help - integration problems

  1. #1
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    integration problems

    hi I have a few integration problems I'm not quite sure of and was wondering if anyone can help get to the integration stage...???

    the integral of dx/(1-5x)

    int of t^2(1+t^3)^1/3 dt

    and int of sin^2(x) dx

    any help would be ace!!
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  2. #2
    MHF Contributor kalagota's Avatar
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    Taguig City, Philippines
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    Quote Originally Posted by blackout View Post
    hi I have a few integration problems I'm not quite sure of and was wondering if anyone can help get to the integration stage...???

    the integral of dx/(1-5x)

    int of t^2(1+t^3)^1/3 dt

    and int of sin^2(x) dx

    any help would be ace!!
    for the first one, set u = 1-5x
    for the second one, set u = 1+t^3

    for the third one, remember this identity: \cos (2x) = 1 - 2\sin^2 x.. derive \sin^2 x
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