Is There a Product Rule for Integrating Functions?

[Manni]

How would I find ∫[f(x)g(x)]d(x)? Similarly, how would I find ∫[f(x)/g(x)]dx?

Is there a similar rule to be applied here as in the product rule for differentiation?

 

[Ivan92]

Integration by parts would be the best method to find something like ∫[f(x)g(x)]d(x).

http://www.sosmath.com/calculus/integration/byparts/byparts.html

As for your other question, I don't know of any. I am sure it would consist of a natural log function, but it would depend what kind of quotient it is.

 

[Manni]

Gotcha! Thanks a lot!

 

[Mark44]

Integration by parts is the integration counterpart to the product rule in differentiation.