(1-x^3)^n

Hi Ashutosh,

Please note that this can be integrates only when "n" is a natural number.

So now (1-x³)ⁿ can be binomially expanded, and you will have

1 - ⁿC₁x³ + ⁿC₂x⁶ - ⁿC₃x⁹ + ............ (-1)^{n n}C_nx³ⁿ

Now each of the terms can be easily intergrated individually using the integration of xⁿ = xⁿ⁺¹/(n+1).

Hope that helps,

All the best,

Regards,

Ashwin (IIT Madras)