CUET Mathematics 2026 18th May Shift 1 PYQs

$\int \frac{dx}{\sin^2 x \cos^2 x} =$

If $\int(\sqrt{x+1} + \sqrt{x-1})^2 dx = \alpha x^2 + \beta x\sqrt{x^2-1} + \gamma \log|x+\sqrt{x^2-1}| + C$, then value of $\alpha + \beta - 2\gamma$ is :

$\int e^{(x \log 5)}e^x dx$, is:

Where $C$ is the constant of integration.