Calculate the derivative

Question

d/dt∫^t^2_e^t√(1+x^2)dx=

Answer 1

To find the derivative, we first need to use the Fundamental Theorem of Calculus:

d/dt∫^t^2_e^t√(1+x^2)dx = √(1+t^2) - √(1+e^2)

We can simplify this answer further, but this is the final derivative.