6. Integration and Accumulation of Change

Integrating Using Linear Partial Fractions — Quiz

Test your understanding of integrating using linear partial fractions with 5 practice questions.

Practice Questions

Question 1

Which expression is the result of splitting $\frac{5x+1}{x(x+1)}$ into linear partial fractions?

Question 2

What is $\int \frac{1}{x-3}\,dx$?

Question 3

Evaluate $\int \left(\frac{2}{x}+\frac{3}{x-1}\right)dx$.

Question 4

Which rational function has the partial fraction form $\frac{2}{x} - \frac{1}{x+2}$?

Question 5

What is the first step when integrating a rational function whose denominator factors into distinct linear factors?