# Thread: Integration

1. ## Integration

First, I apologize for the straight text version. Sorry.

I need to resolve this:

Integral of [e^sqrt(x) / sqrt(x)] dx

Or, rewriting:

Integral of [x^(-1/2) * e^(x^(1/2))] dx

Since the derivative of x^(1/2) is (1/2)*x^(-1/2)

And the derivative of e^u is equal to (u’ * e^u)

I resoved the inegral above multiplying by (2/2) as follows:

2* Integral of [(1/2)*x^(-1/2) * e^(x^(1/2))] dx = 2* e^(x^(1/2)) + C

Can someone please confirm or trash my results?

If it’s incorrect, can you please help?

Thanks a Lot!

2. It's correct

To see if the result of an integral is right you can just differentiate, remember the Fundamental Theorem of Calculus.