# Integration problem

1. May 1, 2008

### mdnazmulh

1. The problem statement, all variables and given/known data

I solved the integration problem but i am not sure whether my solution is correct or wrong. I attached the picture of the solution.. Kindly tell me whether it is correct or wrong.

2. Relevant equations

This was the problem :
$$\int(1- \frac{x}{a} )^{\frac{1}{n}} x dx$$
3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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2. May 1, 2008

### HallsofIvy

Staff Emeritus
I didn't check the whole thing since your solution is far more complicated than necessary. After you have, correctly, $\int z^{1/n}(a- z)dz$, do NOT use "integration by parts", just multiply:
$$\int (az^{1/n}- z^{1+1/n})dz= \int (az^{1/n}- z^{(n+1)/n})dz$$