Integrate the following functions w.r.t. x : x^2 √(a^2 - x^6)

Question

Integrate the following functions w.r.t. x :

\(x^2 \sqrt{a^2 - x^6}\)

x² √(a² - x⁶)

Answer 1

Let  I = ∫ x² √(a² - x⁶)