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

Please help me by pointing me in the right direction for this integral :

∫ t^3 * (t^2 + 1)^0.5 dt

2. Relevant equations

i used the standard formula of integration by parts on this.

http://www.sosmath.com/calculus/integration/byparts/img9.gif

3. The attempt at a solution

here is what is did :

1/2∫ 2t * t^2 * (t^2 + 1)^0.5 dt

1/2{ [t^2 * (t^2 + 1)^1.5 * 2/3] - [∫ 2t * (t^2 + 1)^1.5 * 2/3 dt ]}

i highly doubt it is correct, i think i used the formula wrongly.

Can anyone point out my mistake or just provide me with any other sort of help, it would be appreciated.

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# Homework Help: Integration of a function with it's derivative.

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