Use the trapezium rule with 3 strips to estimate the value of
∫0π6sin(x2) dx \int_0^{\pi} 6 \sin\left(\frac{x}{2}\right) \, dx ∫0π6sin(2x)dxFind the exact solution to
∫0π6sin(x2) dx \int_0^{\pi} 6 \sin\left(\frac{x}{2}\right) \, dx ∫0π6sin(2x)dxHence find the percentage error in the answer to part a.
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.