Question

Find the derivative of the function h(x) =∫(upper=√x) (lower=1) s^2/(s^2+1)ds

Answer 1

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

use this!

Answer 2

in your case, lower limit f(x) is a constant,
so there won't be a 2nd term

Answer 3

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

Answer 4

need help using this ?

Answer 5

1/(2x+2)

Answer 6

how?