\( \int e ^ { x ^ { 2 } } d x \)

Express \( \int_{0}^{2} x^{m}\left(1-x^{n}\right)^{p} d x \) in terms of Beta and Gamma function were enaluate \( \int_{0}^{1} x^{2}\left(1-x^{2}\right)^{4} d x \)

Исследовать на сходимость ряды с положительными членами \( \sum_{n=1}^{\infty} \frac{(n+2)!}{n^{n}} \). \( \sum_{n=1}^{\infty} \frac{n+3}{n(n+1)} \)

\( L ( \cos ( a t + b ) ) \)

(iv) \( f(x)=\left\{\begin{array}{cc}x \sin \frac{1}{x} & \text { if } x \neq 0 \\ 0 & \text { if } x=0\end{array} \quad\right. \) at \( x=0 \)

\( \lim _ { x \rightarrow a } ( a - x ) \tan ( \frac { x x } { 20 } ) \)