How do you show whether the improper integral #int e^x/ (e^2x+3)dx# converges or diverges from 0 to infinity?
1 Answer
Oct 25, 2015
Assuming that the intended integral is
Explanation:
Integration by substitution will get an arctan whose argument involves
Let
Now let
Where
So
I have omitted the details to properly express the calculation of an improper integral. I assume that the indefinite integral was the difficulty.