Let for . Find…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

Let

f(x)=\sqrt{9-x^{2}}

for

-3\le x\le 3

. Find

\displaystyle\int_{0}^{3} f(x)\,dx

. (a)

\dfrac{9\pi}{8}

(b)

\dfrac{3\pi}{2}

(c)

\dfrac{9\pi}{4}

(d)

\dfrac{9\pi}{2}