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Math Help - Integral properties

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    Integral properties

    Thank you so much for your help!
    Last edited by aquaglass88; February 7th 2008 at 06:02 AM.
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  2. #2
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    Quote Originally Posted by aquaglass88 View Post
    Hi I am trying to evaluate the integral of

    Integral of [(d/dx)(e ^ (tan^-1 (x)))dx]

    I am aware that there is some trick involved or just using an integral property however I have no idea how to solve this.

    Thank you so much for your help!
    Integration and differentiation are inverse operations. That means they undo each other.

    So if you differentiate f(x) and then integrate the result, you get back f(x). Plus an arbitrary constant C of integration.

    In your case, f(x) = e^{\tan^{-1} (x)} ......
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