List of top Mathematics Questions on Methods of Integration asked in CBSE CLASS XII

The integral \[ \int \sqrt{1 + \sin x} \, dx \] is equal to:
The integral \[ \int_0^{\frac{\pi}{2}} \cos x \cdot e^{\sin x} \, dx \] is equal to:
The integrating factor of the differential equation \[ e^{-\frac{2x}{\sqrt{x}}} \, \frac{dy}{dx} = 1 \] is:
Sketch a graph of \( y = x^2 \). Using integration, find the area of the region bounded by \( y = 9 \), \( x = 0 \), and \( y = x^2 \).

Evaluate: \[ \int_1^5 \left( |x-2| + |x-4| \right) \, dx \]