| Exam Board | CAIE |
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| Module | P2 (Pure Mathematics 2) |
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| Year | 2023 |
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| Session | June |
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| Topic | Standard Integrals and Reverse Chain Rule |
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6 Show that \(\int _ { \frac { 1 } { 4 } \pi } ^ { \frac { 1 } { 3 } \pi } \left( 4 \cos ^ { 2 } 2 x + \frac { 1 } { \cos ^ { 2 } x } \right) \mathrm { d } x = \frac { 3 } { 4 } \sqrt { 3 } + \frac { 1 } { 6 } \pi - 1\).