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Math Help - Evaluate integrals

  1. #1
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    Evaluate integrals

    A)integral,top limit =1, bottom limit = -infinity 1/1+x^2dx

    B)integral,top limit =infinity, bottom limit = 0 te^-t dt



    Evaluate the given improper integral or show that it diverges
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  2. #2
    MHF Contributor

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    Re: Evaluate integrals

    So
    A) \int_{-\infty}^1 \frac{1}{1+ x^2} dx

    B) \int_0^\infty t e^{-t}dt

    Okay, now what is your difficulty? The first can be found in any table of integrals- \frac{1}{1+ x^2} is the direct derivative of a function. For (B), use integration by parts with u= t, dv=e^{-t}dt.
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