List of top Mathematics Questions on Integration asked in IPU CET

The integration of $\log x$ with respect to $x$ is
The integral \( \int 34x^4 dx \) is equal to
The integral \( \int e^{\sec x} \tan x \sec x \, dx \) is equal to
The value of \( \int \frac{\sin^2 x \cos^2 x}{(\sin^3 x + \cos^3 x)^2} \, dx \) is
The value of the integral \[ \int_0^0 9 [x - 2\lfloor x \rfloor] \, dx \] where \( [.] \) denotes the greatest integer function, is
The area bounded by the curves \( y = \cos x \) and \( y = \sin x \) between the ordinates \( x = 0 \) and \( x = \frac{3\pi}{2} \) is
The integral \[ \int_0^{\frac{\pi}{2}} \frac{\sqrt{\sin x + \cos x}}{\sin x + \cos x} \, dx \] is equal to
The value of \[ \int_0^{\frac{\pi}{2}} \sin^7 \theta \cos^4 \theta \, d\theta \] is
\[ \int_{-\pi/2}^{\pi/2} |\sin x| dx \text{ equals to} \]
\[ \int \frac{x^2}{(x \sin x + \cos x)^2} dx \text{ is equal to} \]
Choose the most appropriate options.
\[ \int \frac{x^2 - 2}{x \sqrt{x^2 - 1}}\,dx \text{ equal to} \]
\[ \int_0^1 x e^{2x} dx \text{ is equal to} \]
Evaluate $ \int_0^1 x^5 \sqrt{1 - x^3} \, dx $
\[ \int_{-1}^1 \frac{x \sin^{-1} x}{\sqrt{1 - x^2}} dx \text{ is equal to} \]