Evaluate the Following Integrals:
(A) $\int \frac { x } { \left( x ^ { 2 } + 1 \right) ^ { 4 } } d x$

Evaluate the following integrals:
(a) $\int \frac { x } { \left( x ^ { 2 } + 1 \right) ^ { 4 } } d x$ (b) $\int _ { e } ^ { e ^ { 2 } } \frac { 1 } { x ( \ln x ) ^ { 2 } } d x$ (c) $\int \frac { e ^ { 1 / x } } { x ^ { 2 } } d x$ (d) $\int _ { 0 } ^ { 1 } \frac { x } { x + 1 } d x$

Correct Answer:

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