List of top Mathematics Questions on Integration by Partial Fractions asked in CBSE Class XII

Find : \[ \int \frac{x}{(x - 1)(x^2 + 4)} dx \]

Find : \( \int \frac{x^2}{(x^2 + 9)(x^2 + 16) dx \)}

Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).

Find : \( \int \frac{x + 3}{x^2 + 4x + 5} \, dx \)

Find the indefinite integral: \[ \int \frac{2x + 1}{x^2 + 6x + 2} \, dx \]