### All AP Calculus BC Resources

## Example Questions

### Example Question #61 : Integrals

**Possible Answers:**

**Correct answer:**

Explanation:

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)

Integrate:

**Possible Answers:**

**Correct answer:**

Explanation:

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:

David

Certified Tutor

Certified Tutor

Boston University, Bachelors, Mathematics. Syracuse University, Masters, JD, Law.

### All AP Calculus BC Resources

Popular Subjects

SSAT Tutors in Dallas Fort Worth, French Tutors in Denver, LSAT Tutors in Dallas Fort Worth, GMAT Tutors in Boston, SAT Tutors in New York City, Calculus Tutors in Dallas Fort Worth, LSAT Tutors in Phoenix, Reading Tutors in Chicago, English Tutors in Miami, GMAT Tutors in Dallas Fort Worth
Popular Courses & Classes

MCAT Courses & Classes in Chicago, Spanish Courses & Classes in San Diego, LSAT Courses & Classes in Seattle, SAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Denver, SAT Courses & Classes in Atlanta, ISEE Courses & Classes in Washington DC, SAT Courses & Classes in Washington DC, Spanish Courses & Classes in Los Angeles, SAT Courses & Classes in New York City
Popular Test Prep

LSAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Los Angeles, MCAT Test Prep in Boston, ISEE Test Prep in San Francisco-Bay Area, GRE Test Prep in Chicago, ISEE Test Prep in Miami, MCAT Test Prep in Houston, MCAT Test Prep in Philadelphia, SAT Test Prep in Seattle, SAT Test Prep in Washington DC