Question

How do you integrate `int e^sqrtx/sqrtxdx`?

Answer 1

Is an inmediate integral. See below

Explanation:

If we make a change of variable is more evident

Lets do `t=x^2` then `2tdt=dx` and integral becomes

`inte^t/cancelt·2canceltdt=2e^t=2e^sqrtx+C`