(a)[6]
Determine the $x$-value of $M$.
(b)[6]
Using the substitution $u=3+2\tan x$, determine the exact area of the region enclosed by the curve, the $x$-axis and the lines $x=-\frac{\pi}{4}$ and $x=\frac{\pi}{4}$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The graph shown is $y=\sec^2 x\sqrt{3+2\tan x}$ over $-\frac{\pi}{4}\leq x\leq \frac{\pi}{4}$, and the minimum point is $M$.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate $\sqrt{3+2\tan x}$ to get $\sec^2x(3+2\tan x)^{-\frac{1}{2}}$” …
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