| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2014 |
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| Session | June |
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| Topic | Integration by Substitution |
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2 Use the substitution \(u = 1 + 3 \tan x\) to find the exact value of
$$\int _ { 0 } ^ { \frac { 1 } { 4 } \pi } \frac { \sqrt { } ( 1 + 3 \tan x ) } { \cos ^ { 2 } x } d x$$