CUET Mathematics 2023 30 May Shift 3 PYQs

The integral I = $\int e^x\left(\frac{x - 1}{3x^2}\right) dx$ is equal to

$\int_0^8 (x^{\frac{2}{3}} + 1) dx$ is equal to

The integral $\int \frac{dx}{x^2(x^4+1)^{\frac{3}{4}}}$ equals __________.