CUET Mathematics 2022 6 Aug Shift 2 PYQs

$\int_{0}^{1} x^2 e^{x^3} \, dx$ is equal to :

For $a, b \in R$ and $a < b$, $\int_{a}^{b} \frac{f(x)}{f(x) + f(a + b - x)} \, dx =$

The value of $\int \frac{x^5}{\sqrt{1 + x^3}} dx$ is