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Math Help - Evaluate an improper integral - help!

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    Evaluate an improper integral - help!

    Improper integral from 0 to infinity ∫ 5t dt/(t^2 +1)^3/2 dx I am having a really hard time figuring this one out. Thanks for your help!
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    What is the derivative of \frac{5}{\sqrt{t^2+1}}?
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    Quote Originally Posted by Plato View Post
    What is the derivative of \frac{5}{\sqrt{t^2+1}}?
    Is it -2(t^2+1)^-3? Or am I totally off.
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    Quote Originally Posted by macadamianchica View Post
    Improper integral from 0 to infinity ∫ 5t dt/(t^2 +1)^3/2 dx I am having a really hard time figuring this one out. Thanks for your help!
    To evaluate the corresponding indifinite integral, substitute u=t^2+1.
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