| Exam Board | OCR |
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| Module | C3 (Core Mathematics 3) |
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| Topic | Indefinite & Definite Integrals |
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4. (i) Use Simpson's rule with four intervals, each of width 0.25 , to estimate the value of the integral
$$\int _ { 0 } ^ { 1 } x \mathrm { e } ^ { 2 x } \mathrm {~d} x$$
(ii) Find the exact value of the integral
$$\int _ { \frac { 1 } { 2 } } ^ { 1 } e ^ { 1 - 2 x } d x$$