CUET Mathematics 2026 12th May Shift 2 PYQs

$\displaystyle\int \dfrac{(x-3)e^x}{(x-1)^3}dx$ is equal to:

(where C is an arbitrary constant)

$\int_1^2 \frac{dx}{(x+1)(x+2)} =$

$\displaystyle\int \dfrac{dx}{(x^2+4)^{\frac{3}{2}}}$ is equal to ( where $c$ is an arbitrary constant)