s(x)= The definite integral from 2(lower bound) to x(upper bound) \sqrt(1+e^t) dt

Question

Find ds/dx

so far i've got

(1+e^x)^1/2

did I get that right?

Answer 1

Yes, that's correct, since the derivative of the integral is just the function itself (Fundamental Theorem of Calculus), and the derivative of x is 1.