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Math Help - Integral

  1. #1
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    Integral

    Hi everybody,
    I don't know how to calculate the following integral: \int_0^{\frac{\pi}{3}} cos(2x)sin(3x)dx      ???
    Can you help me please???
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  2. #2
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    Quote Originally Posted by lehder View Post
    Hi everybody,
    I don't know how to calculate the following integral: \int_0^{\frac{\pi}{3}} cos(2x)sin(3x)dx ???
    Can you help me please???
    sin(A + B) = sin A cos B + sin B cos A .... (1)

    sin(A - B) = sin A cos B - sin B cos A .... (2)

    (1) + (2): sin(A + B) + sin(A - B) = 2 sin A cos B.

    Use the above to re-write sin(3x) cos(2x).
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