Q10

MCQ1 mark, −0.33

If $f(x) = R \: \sin ( \frac{\pi x}{2}) + S, f’\left(\frac{1}{2}\right) = \sqrt{2}$ and $\int_0^1 f(x) dx = \frac{2R}{\pi}$ , then the constants $R$ and $S$ are

(A)

$\frac{2}{\pi}$ and $\frac{16}{\pi}$

(B)

$\frac{2}{\pi}$ and 0

(C)

$\frac{4}{\pi}$ and 0

(D)

$\frac{4}{\pi}$ and $\frac{16}{\pi}$

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