In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
Find the exact value of
∫0π3(12x−π)sin3x dx \int_{0}^{\frac{\pi}{3}} (12x - \pi) \sin 3x \, dx ∫03π(12x−π)sin3xdxgiving your answer in simplest form.
363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.