Mathematics 9709 · AS & A Level · Integration

Integration — practice question

Apply the substitution $u = 1 + 3\tan x$ to determine the exact value of
(main)[5]

Evaluate $\displaystyle \int_{0}^{\frac{\pi}{4}} \frac{\sqrt{1 + 3\tan x}}{\cos^2 x} \, dx$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $\dfrac{du}{dx} = 3\sec^2 x$ or an equivalent form” …

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