CUET Mathematics 2025 30 May Shift 1 PYQs

If $2f(x) + f\left(\frac{1}{x}\right) = x^2 + 1$, then $\int f(x) dx$ is: (Here C is an arbitrary constant)

$\int \frac{e^{2x} - e^{-2x}}{e^{2x} + e^{-2x}}dx$ is equal to

$\int \frac{(x^4 - x)^{1/4}}{x^5} dx$ is equal to