Discussion questions
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
Use the derivative to find the integral · Recover an integral from a derivative · +4 more
- Question 1 · Use the derivative to find the integral
- Question 2 · Recover an integral from a derivative
- Question 3 · Ten direct integrals and reverse chain rules
- Question 4 · Complete the square and match a standard integral
- Question 5 · Partial fractions and derivative matching
- Question 6 · Trigonometric identities and reverse chain rules
Section 2 · Questions 7–12
Use the specified substitutions · Integration by parts: logarithms, powers and a returning integral · +4 more
- Question 7 · Use the specified substitutions
- Question 8 · Integration by parts: logarithms, powers and a returning integral
- Question 9 · Integrate inverse sine using a known derivative
- Question 10 · Use a derivative inside integration by parts
- Question 11 · Two antiderivatives and their constant difference
- Question 12 · Product-to-sum before integration