5. Calculus

Integrating With Partial Fractions — Quiz

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

Practice Questions

Question 1

Which condition must hold before a rational function can be decomposed directly into partial fractions for integration?

Question 2

Evaluate $\int \frac{3x+5}{x^2+x-2}\,dx$.

Question 3

Evaluate $\int \frac{1}{x^2(x+1)}\,dx$.

Question 4

Evaluate $\int_0^1 \frac{1}{x^2+3x+2}\,dx$.

Question 5

Evaluate $\int \frac{5x^2+3x+1}{x(x^2+1)}\,dx$.