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.
438 exam-style questions on OCR A Level Maths 1.8 Integration, covering 1.8.1 Fundamental theorem of calculus (A-level only), 1.8.2 Integrating x^n, 1.8.3 Integrating standard functions (A-level only), 1.8.4 Evaluating definite integrals, 1.8.5 Area between a curve and the x-axis, 1.8.6 Area between two curves, 1.8.7 Integration as the limit of a sum (A-level only), 1.8.8 Integration by substitution (A-level only), 1.8.9 Integration by parts (A-level only), 1.8.10 Use of partial fractions in integration (A-level only), 1.8.11 Differential equations with separable variables (A-level only), 1.8.12 Interpreting the solution of a differential equation (A-level only), and 1.8 Integration. Each one has a worked solution and a mark scheme showing where the marks go.