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Math Help - Integrate exp(-x) sin(tx) /x

  1. #1
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    Integrate exp(-x) sin(tx) /x

    By differentiating through the integral sign, evaluate:

    1) \int_0^{\infty} (\exp(-x) \sin (tx)) / xdx

    2) \int_0^{\infty} (x^2 + a) ^{-n} dx where n is a positive integer and case i) a > 1 case ii) a>0.
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  2. #2
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    Quote Originally Posted by Amanda1990 View Post

    1) \int_0^{\infty} (\exp(-x) \sin (tx)) / xdx
    Put f(t)=\int_{0}^{\infty }{\frac{e^{-x}\sin (tx)}{x}\,dx}, and differentiate.
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