Question

CALCULUS HELP (not enough members on on the Calc page right now...
d/dx Integral from 10 to x^3 of 1/(p^2) dp
Will show formatted equation in comments.

Answer 1

\[d/dx \int\limits_{10}^{x^3} 1/(p^2) dp\]

Answer 2

use FTC

Answer 3

I know it's the 2nd ftc but I don't know how to plug in the limits. Do I need to derive x^3 when I bring it down?

Answer 4

and if you choose to integrate use subsitution say p^2= k, find dp /dk, complete the integration and thend find d/dx

BUT best soln is use property of antiderivatives

Answer 5

oh ok i got it, so the lower limit of 10 becomes irrelevant, and the answer is just f(x), but you have to chain rule it so include the derivative of x^3.
So it should be:
\[3x^2 / x^6\]