integral t^2dt from x to x^2

f'(x)=?

1 answer

well, you can integrate and then take the derivative, and get

f(x) = 1/3 (x^6-x^3)
f'(x) = 2x^5 - x^2

or you can use Leibnitz' Rule and get

(x^2)^2(2x) - (x)^2(1)
= 2x^5 - x^2

read up on it at

http://en.wikipedia.org/wiki/Differentiation_under_the_integral_sign