Evaluate the Following Integrals:
(A) $\int x \sin x d x$

Essay

Evaluate the following integrals:
(a) $\int x \sin x d x$ (b) $\int x \sin \left( x ^ { 2 } \right) d x$ (c) $\int \sin ^ { - 1 } x d x$ (d) $\int x e ^ { 3 x } d x$