Math Help - Evaluate an improper integral - help!

1. 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!

2. What is the derivative of $\frac{5}{\sqrt{t^2+1}}?$

3. Originally Posted by Plato
What is the derivative of $\frac{5}{\sqrt{t^2+1}}?$
Is it -2(t^2+1)^-3? Or am I totally off.

To evaluate the corresponding indifinite integral, substitute $u=t^2+1$.