| Exam Board | OCR |
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| Module | C4 (Core Mathematics 4) |
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| Topic | Integration by Substitution |
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3. Using the substitution \(u = \mathrm { e } ^ { x } - 1\), show that
$$\int _ { \ln 2 } ^ { \ln 5 } \frac { \mathrm { e } ^ { 2 x } } { \sqrt { \mathrm { e } ^ { x } - 1 } } \mathrm {~d} x = \frac { 20 } { 3 }$$