CUET Mathematics 2026 30th May Shift 2 PYQs

$\int \sin x \sin 2x \sin 3x dx$ is equal to

The value of $\int_{-a}^a f(x)dx$ where $f(x) = \frac{7^x}{1+7^x}$ is:

$\int \frac{e^{7\log_e x} - e^{6\log_e x}}{e^{4\log_e x} - e^{3\log_e x}} dx$ is equal to:

(Here, c is an arbitrary constant)