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Thread: Simple integral?

  1. #1 Simple integral? 
    Member epidecus's Avatar
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    I was working on a basic problem (a little single-variable calc), and it seems my answer differs from the one my text provides.

    The above is what my text says the answer is. Here's my work:



    We'll make a substitution:



    From our substitution, we know , giving



    Integrate by parts: and



    Substituting back in, we get

    It doesn't seem my answer is equivalent to the text's, so either I did a mistake or the text is wrong. In fact, all that seems to differ is the factor of . Can someone shed a little light here? Much appreciated.
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  2. #2  
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    Quote Originally Posted by epidecus View Post
    I was working on a basic problem (a little single-variable calc), and it seems my answer differs from the one my text provides.



    The above is what my text says the answer is. Here's my work:



    It doesn't seem my answer is equivalent to the text's, so either I did a mistake or the text is wrong. In fact, all that seems to differ is the factor of . Can someone shed a little light here? Much appreciated.
    A quick check. Take the derivative of the answer. It looks like you are correct and the book is wrong.
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  3. #3  
    Member epidecus's Avatar
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    Wow, somehow that thought completely feinted my mind. Yeah, it looks like the author forgot about the factor in front of the antiderivative. Thanks.
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