Question

Find f'(x) if f(x)= ∫ 0 to x^(2) (sqrt(1+r^(3)))

Answer 1

General formula
derivative of integration\(

\Large \dfrac{d}{dx}\int \limits_{f(x)}^{g(x)}h(x)dx = h(g(x))g'(x)-h(f(x))f'(x)\)

Answer 2

in your case,
g(x) = x^2
f(x) = 0
h(x) = \(\sqrt{1+r^3}\)

Answer 3

f(x) = 0,
so just
\(\Large h(g(x))g'(x)\)

Answer 4

try now :)

Answer 5

Thanks

Answer 6

welcome ^_^