CUET Mathematics 2022 23 Aug Shift 1 PYQs

The value of $\int_0^1 x e^x dx$ is:

If $\frac{d}{dx}(f(x)) = 5x^4 - \frac{4}{x^5}$ such that $f(1) = 0$. Then $f(2) - 2f\left(\frac{1}{2}\right)$ is equal to :

The integral $\int e^x \left(\frac{x-1}{2x^2}\right) dx$ is equal to: