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Math Help - Integration by Substitution Problem

  1. #1
    Junior Member xfriendsonfirex's Avatar
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    Integration by Substitution Problem

    Find the indefinite integral:

    \int (1+\frac{1}{t})^{3}(\frac{1}{t^2})dt

    Perhaps I'm just missing the obvious here, but I can't even determine what to set u to. Any help?
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  2. #2
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    Quote Originally Posted by xfriendsonfirex View Post
    Find the indefinite integral:

    \int (1+\frac{1}{t})^{3}(\frac{1}{t^2})dt

    Perhaps I'm just missing the obvious here, but I can't even determine what to set u to. Any help?

    Set u= 1+\frac{1}{t}

    then du = \frac{-1}{t^2}dt

    Clear now?
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  3. #3
    Junior Member xfriendsonfirex's Avatar
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    Crystal. I feel stupid now. Haha. Thanks!
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  4. #4
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    Quote Originally Posted by xfriendsonfirex View Post
    Crystal. I feel stupid now. Haha. Thanks!
    yeah, i feel bad for answering so directly. i should have hinted instead. it was really something you should have seen. you are nowhere near ready for an exam, based on this, my friend.
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