How do you integrate 1ex(ex+1) using partial fractions?
1 Answer
Mar 4, 2017
Explanation:
Rather than using partial fractions directly we can prepare the function for a substitution. As the substitution will have to remove the exponential, let's bring it to the numerator noting that:
Substitute now
Now separate in partial fractions simply adding and subtracting
This are regular integrals we can solve straight away:
and undoing the substitution: