- #1

- 61

- 1

## Homework Statement

Integrate : f(t) = t

^{3}/ sqrt(t

^{2}+1)

## Homework Equations

## 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