(i)[6]
Determine the exact coordinates of the curve's stationary point.
(ii)[4]
The constant $a$ satisfies $\displaystyle \int_{0}^{a} \dfrac{3\cos x}{2 + \sin x}\, dx = 1$. Determine the value of $a$, correct to 3 significant figures.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The curve is given by $y = \frac{3\cos x}{2 + \sin x}$, with $-\frac{1}{2}\pi \leq x \leq \frac{1}{2}\pi$.