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Math Help - show the equality

  1. #1
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    show the equality

    Let f be a function such that f' is continuous on [a,b]. show that

    \int _a\,^b\!f(t)f'(t)dt = 1/2[f^2(b) - f^2(a)]
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  2. #2
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    Quote Originally Posted by wopashui View Post
    Let f be a function such that f' is continuous on [a,b]. show that

    \int _a^{\,b}\!f(t)f'(t)dt = 1/2[f^2(b) - f^2(a)]
    Substitute u=f(t).
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