(a) Evaluate $\int\limits_{0}^{\pi} \frac{xdx}{1 + \sin x}$. (b) Defi…
Previous year question for Engineering Mathematics-I.
Question
(a) Evaluate $\int\limits_{0}^{\pi} \frac{xdx}{1 + \sin x}$.
(b) Define gamma and beta functions. Prove that $\Gamma\left(\frac{1}{2}\right) = \sqrt{\pi}$.
- Year: 2022
- Subject: Engineering Mathematics-I