Question

determine the antiderivative of (x^2) sqrt (25-x^2) dx
show steps plz

Answer 1

\[\int\limits x^2 \sqrt{25-x^2}dx\]?

Answer 2

Trig sub is what you need

Answer 3

x=5sin(u)
dx=5cos(u)du

Answer 4

x/5=sinu
u=sin^(-1)x/5

Answer 5

\[25\int\limits 25 \sin ^2(u) \cos ^2(u) \, du\]

Answer 6

oh man long step ahead

Answer 7

@Sam I am trying to teach myself integration. How could you tell you needed a trig substitution ?