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Math Help - Hard problem with integrals

  1. #1
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    Hard problem with integrals

    known
    F(x)=int(f(arcsin(x)dx)
    find
    int(f(x)*cos(x)dx) between 0 to Pi
    thought of t=sin(x) but i can only integrate for 0 to Pi/2...
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  2. #2
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    Opalg's Avatar
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    Quote Originally Posted by Tom1234 View Post
    known
    F(x)=int(f(arcsin(x)dx)
    find
    int(f(x)*cos(x)dx) between 0 to Pi
    thought of t=sin(x) but i can only integrate for 0 to Pi/2...
    It looks to me as though you have spotted an error in this question. The "known" function F(x) only provides information about f(t) in the interval |t|\leqslant \pi/2. So you know nothing about f(x) for x>\pi/2 and therefore there is no way that you can describe its integral in the interval [\pi/2,\pi].
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  3. #3
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    Quote Originally Posted by Opalg View Post
    It looks to me as though you have spotted an error in this question. The "known" function F(x) only provides information about f(t) in the interval |t|\leqslant \pi/2. So you know nothing about f(x) for x>\pi/2 and therefore there is no way that you can describe its integral in the interval [\pi/2,\pi].
    is there a solution?
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