Question
Please help me with this integral problem:
ʃ x^2(a^2-x^4)^2dx
please help..thanks alot:)
ʃ x^2(a^2-x^4)^2dx
please help..thanks alot:)
Answers
Steve
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
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
Reiny
Expand the expression to get individual terms in x
after that it is easy
after that it is easy