(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Integrate : f(t) = t^{3}/ sqrt(t^{2}+1)

2. Relevant equations

3. The attempt at a solution

t^{2}* t / sqrt(t^{2}+1)

let u = sqrt(t^{2}+1)

u=(t^{2}+1)^{0.5}

u^{2}= t^{2}+1

t^{2}= u^{2}-1 -Eq 1

u=(t^{2}-1)^{0.5}

du = t/sqrt(t^{2}-1) dt

dt = sqrt(t^{2}-1)/t du -Eq 2

Hence Substituting 1 and 2

Integrate : f(t)

= Integrate (u^2 -1) du

Is this way correct? If not can give me the right way

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# Homework Help: Square root integration problem

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