Evaluate the Following Integrals:
(A) $\int x \cot ^ { - 1 } x d x$

Essay

Evaluate the following integrals:
(a) $\int x \cot ^ { - 1 } x d x$ (b) $\int _ { 1 } ^ { e } ( \ln x ) ^ { 2 } d x$ (c) $\int x ^ { 2 } \cos x d x$ (d) $\int \cos ( \ln x ) d x$