All AP Calculus BC Resources
Example Question #1 : Substitution Of Variables (By Parts And Simple Partial Fractions)
In order to evaluate this integral, we will need to use partial fraction decomposition.
Multiply both sides of the equation by the common denominator, which is
This means that must equal 1, and
The answer is .
Example Question #2 : Substitution Of Variables (By Parts And Simple Partial Fractions)
To integrate, we must first make the following substitution:
Rewriting the integral in terms of u and integrating, we get
The following rule was used to integrate:
Finally, we replace u with our original x term: