List of top Mathematics Questions on Definite Integral asked in KCET

$\int_{a-6}^{b-6} f(x + 6) dx$ is equal to

One of the possible functions $f(x)$ which satisfies $\int_{-2}^{2} f(x) dx = 0$ is

$$ \int_{-\pi/4}^{\pi/4} \sin^{103} x \cos^{101} x \, dx = ? $$

$$ \int_{0}^{\pi/4} (\tan^8 x + \tan^6 x) \, dx = ? $$