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