Let . On the interval , the graphs of and enclose a region of total area . Determine…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

Let

k>0

. On the interval

0\le x\le \pi

, the graphs of

y=\sin x

and

y=k\sin x

enclose a region of total area

\dfrac{\pi}{2}

. Determine all possible values of

k