Evaluate the Following Integrals:
(A) $\int x e ^ { x ^ { 2 } } d x$

Essay

Evaluate the following integrals:
(a) $\int x e ^ { x ^ { 2 } } d x$ (b) $\int \frac { \cos ( \ln x ) } { x } d x$ (c) $\int \frac { \sec ^ { 2 } x } { \tan x } d x$ (d) $\int \frac { 3 x ^ { 2 } } { 1 + x ^ { 6 } } d x$