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Math Help - ∫ye^(y^2)

  1. #1
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    ∫ye^(y^2)

    ∫ye^(y^2)dy => how do I integrate this? Does it have to be done by parts?

    If so, how do I need to set that up? I got about this far: u=y^2, du= 2ydy but then I'm not sure what do set dv as...

    thanks for any help
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by crabchef View Post
    ∫ye^(y^2)dy => how do I integrate this? Does it have to be done by parts?

    If so, how do I need to set that up? I got about this far: u=y^2, du= 2ydy but then I'm not sure what do set dv as...

    thanks for any help
    \int ye^{y^2}\,dy

    We don't need parts here. Just make the substitution u=y^2\implies \frac{du}{2}=y~dy

    Then the integral becomes: \frac{1}{2}\int e^u\,du

    Evaluate and then resubsitute u=y^2 back into the solution.

    I hope this clarifies things!

    --Chris
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  3. #3
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    Quote Originally Posted by Chris L T521 View Post
    \int ye^{y^2}\,dy

    We don't need parts here. Just make the substitution u=y^2\implies \frac{du}{2}=y~dy

    Then the integral becomes: \frac{1}{2}\int e^u\,du

    Evaluate and then resubsitute u=y^2 back into the solution.

    I hope this clarifies things!

    --Chris
    thanks chris! that was very helpful =)
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