CUET Mathematics 2022 7 Aug Shift 2 PYQs

$\int_{-\pi/2}^{\pi/2} \sin^7 x \, dx =$

For $x \in \left(0, \frac{\pi}{2}\right)$, $\int \frac{\sin x + \cos x}{\sqrt{\sin 2x}} dx$ is equal to

The value of $\int_{-5}^{5} |x + 3| dx$ is