Practicing Success
Practicing Success
CUET Preparation Today
Let f (x) be a continuous function such that the area bounded by the curve $y = f (x)$, the x-axis, and the lines $x = 0$ and $x = a$ is $1+\frac{a^2}{2}\sin a$. Then, |
$f(\frac{\pi}{2})=1+\frac{\pi^2}{8}$ $f(a)=1+\frac{a^2}{2}\sin a$ $f(a)=a\sin a+\frac{1}{2}a^2\cos a$ none of these |
$f(a)=a\sin a+\frac{1}{2}a^2\cos a$ |
It is given that $\int\limits_0^af(x)dx=1+\frac{a^2}{2}\sin a$ Differentiating this with respect to a, we get $f(a)=a\sin a+\frac{1}{2}a^2\cos a$ |
