Review practice
Choose a section to work through its questions and solutions. Your progress is shared across pages. Ranges follow collection order; original source labels are kept on each question.
Section 1 · Questions 1–6
A derivative unlocks integration by parts · Use a double-angle identity and an exponential substitution · +4 more
- Question 1 · A derivative unlocks integration by parts
- Question 2 · Use a double-angle identity and an exponential substitution
- Question 3 · Divide a rational function and integrate an inverse-tangent product
- Question 4 · Expand after the specified linear substitution
- Question 5 · Use a shown antiderivative inside integration by parts
- Question 6 · Transform a square-root integral and reverse an exponential chain
Section 2 · Questions 7–12
Apply double-angle and product-to-sum identities before integrating · Complete a square after substitution and use a product derivative · +4 more
- Question 7 · Apply double-angle and product-to-sum identities before integrating
- Question 8 · Complete a square after substitution and use a product derivative
- Question 9 · Use the prescribed cosine substitution in a difference of squares
- Question 10 · Reverse an arctangent chain and use a principal sine substitution
- Question 11 · Choose among inner derivatives, completed squares and parts
- Question 12 · Split a numerator into a denominator derivative and a remainder
Section 3 · Questions 13–16
Split the numerator and complete the square under a radical · Find partial fractions and integrate each term · +2 more