CUET Mathematics 2026 30th May Shift 1 PYQs

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

(where C is an arbitrary constant)

$\int \frac{f'(x)}{f(x) \log_e[f(x)]} dx$ is equal to

If $\displaystyle\int \dfrac{\sin^4 x}{\cos^8 x}\, dx = a\tan^7 x + b\tan^5 x + C$, where 'C' is an arbitrary constant then