| Exam Board | CAIE |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2011 |
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| Session | November |
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| Topic | Standard Integrals and Reverse Chain Rule |
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4 Find the exact value of the positive constant \(k\) for which
$$\int _ { 0 } ^ { k } e ^ { 4 x } d x = \int _ { 0 } ^ { 2 k } e ^ { x } d x$$