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