Please help me with this integral problem:

Question

ʃ x^2(a^2-x^4)^2dx

please help..thanks alot:)

Answer 1

It's just a polynomial. Expand things out to get

ʃ x^2(a^4 - 2a^2x^4 + x^8)^2 dx
= ʃ a^4x^2 - 2a^2x^6 + x^10 dx
= a^4x^3/3 - 2a^2x^7/7 - x^11/11 + C

Answer 2

Expand the expression to get individual terms in x
after that it is easy