The following table shows corresponding values of xxx and yyy for a curve with equation y=g(x)y = g(x)y=g(x). The values of yyy are rounded to 3 decimal places.
| xxx | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|
| yyy | 1.141 | 3.562 | 6.890 | 4.121 | 0.985 |
Using the trapezium rule with all the values of yyy in the given table, obtain an estimate for
∫04g(x) dx \int_{0}^{4} g(x) \, dx ∫04g(x)dxgiving your answer to 2 decimal places.
Use your answer to part (a) to estimate (i)
∫04(g(x)+3) dx \int_{0}^{4} (g(x) + 3) \, dx ∫04(g(x)+3)dx(ii)
∫26g(x−2) dx \int_{2}^{6} g(x-2) \, dx ∫26g(x−2)dx864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.