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Homework Statement
Please help me by pointing me in the right direction for this integral :
∫ t^3 * (t^2 + 1)^0.5 dt
Homework Equations
i used the standard formula of integration by parts on this.
http://www.sosmath.com/calculus/integration/byparts/img9.gif
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.