$int x^{3}(25-4x^{2})^{\frac{3}{2}}dx$
$int x^{3}(25-4x^{2})^{\frac{3}{2}}dx$
Answer
(-10-4x^2)}{112} + C$$ $$= -\frac{(25-4x^2)^{5/2}(5+2x^2)}{56} + C$$
Answer:
$-\frac{(25-4x^2)^{5/2}(2x^2+5)}{56} + C$ (or equivalent expanded form: $-\frac{5}{16}(25-4x^2)^{5/2} + \frac{1}{112}(25-4x^2)^{7/2} + C$)