Substitution of Variables (by parts and simple partial fractions) - AP Calculus BC
Card 0 of 4
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 
.
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
The answer is
Compare your answer with the correct one above
Integrate:
Integrate:
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:
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:
Compare your answer with the correct one above
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 .
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
The answer is
Compare your answer with the correct one above
Integrate:
Integrate:
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:
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:
Compare your answer with the correct one above