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.
52 exam-style questions on OCR (MEI) A Level Maths 1.9.29 Integration by parts (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.