Trigonometric integration

Integrate expressions involving sin, cos, or sec, often using identities or evaluating definite integrals with π limits.

2 questions · Moderate -0.8

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OCR MEI C3 2014 June Q1
3 marks Moderate -0.8
Evaluate \(\int_0^{\frac{\pi}{4}} (1 - \sin 3x) \, dx\), giving your answer in exact form. [3]
OCR MEI C3 2016 June Q1
3 marks Moderate -0.8
Find the exact value of \(\int_0^{\frac{1}{4}\pi} (1 + \cos \frac{1}{2}x) dx\). [3]