List of top Mathematics Questions on Application of Integrals asked in CBSE CLASS XII

Which of the following expressions will give the area of the region bounded by the curve $y = x^2$ and the line $y = 16$?

\[ \int \frac{x + 5}{(x + 6)^2} e^x \, dx \] is equal to:

Let $f'(x) = 3(x^2 + 2x) - \frac{4}{x^3} + 5$, $f(1) = 0$. Then, $f(x)$ is:

The area of the region bounded by the curve $y^2 = x$ between $x = 0$ and $x = 1$ is:

Evaluate \[ \int_0^{\frac{\pi}{2}} \frac{x}{\sin x + \cos x} \, dx. \]

Find \[ \int \frac{x^2 + 1}{(x - 1)^2 (x + 3)} \, dx. \]