Thread: Integration & Logarithm

As I do not know anyone fresh enough with Calculus, certainly this forum (that I just joined) is my best destination.

I studied calculus nearly ~20+ years ago. I nearly forgot everything...

Here is my problem

After a few manipulations the integrand I'm dealing with comes out as product of two functions which are (independently) the derivative of the denominator logarithm.
That means (being D=d/dx):

Dln(x+1) = [1/(x+1)]
Dln(x+2) = [1/(x+2)]

The integral I'm trying to resolve is:

(integral of) [1/(x+1)] * [1/(x+2)] dx

I’m now stuck because I cannot recall at all how to find the primitive, i.e. how to resolve the integral. I believe it should be resolved integrating by parts. Right?

Could someone please guide me through?

Rewrite it as

Thanks, but I'm not sure what you mean.

The function to be integrated is the product of the two, not the sum...

Originally Posted by galactus

Rewrite it as

He actually splitted the original integrand into two fractions: