Question

\[ \int_{0}^{8} x^{\frac{5}{3}} \left(4 - x^{\frac{2}{3}}\right)^{\frac{3}{2}} \, dx = \ ? \] 

• A. \(\frac{2^{16}}{385}\)
• B. \(\frac{2^{13}}{385}\)
• C. \(\frac{2^{12}}{385}\)
• D. \(\frac{2^{15}}{385}\) \bigskip

Hint:

When powers are fractional, try \(x=t^n\) substitution first.

Answer 1

The Correct Option is A