A-level · Integration

Integrating with trigonometric identitiesExam-style questions

Integrating trig functions that have no table entry by rewriting them first. Why sin²x is not ⅓sin³x; the cos 2x identities for squares of sine and cosine; exact values over an interval; tan² and cot² through the Pythagorean identities; products of sine and cosine through sin 2x; and squares of a multiple angle or a bracket.

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17 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 5

1
Find $\displaystyle\int \sin^2 x\,dx$ .
Level 2 · 2 marksTry it
2
Find $\displaystyle\int \cos^2 x\,dx$ .
Level 2 · 2 marksTry it