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.
125 exam-style questions on CCEA A Level Maths 3.7 Numerical methods (A-level only), covering 3.7.1 Numerical methods (A-level only), 3.7.2 Numerical methods (A-level only), 3.7.3 Numerical methods (A-level only), and 3.7.4 Numerical methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.