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Math Help - Trig integral

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    Trig integral

    The integral from pi/8 to pi/4 of (sin2x)^2
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by abcocoa View Post
    The integral from pi/8 to pi/4 of (sin2x)^2
    form basic trig identities:

    (sin(2x))^2 = (1/2)[1-cos(4x)]

    so:

    Integral (sin(2x))^2 dx = (1/2)x - (1/8)sin(4x) + C

    Integral(x=pi/8, pi/4) (sin(2x))^2 dx = [(1/2)pi/4] - [(1/8)pi/8 - (1/8)sin(pi/2)=pi/16+1/8

    RonL
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