Find the Value of the Integral $\int _ { 0 } ^ { 1 } \ln \left( 1 + x ^ { 2 } \right) d x$

Find the value of the integral $\int _ { 0 } ^ { 1 } \ln \left( 1 + x ^ { 2 } \right) d x$

A) $\ln 2$

B) $\frac { \pi } { 8 }$
C) $\frac { \pi } { 2 } - 2 + \ln 2$
D) $2 - \ln 2$
E) $\frac { \pi } { 4 } + \ln 2$
F) $\pi - 4$

G) $\pi - 2$

H) $\pi - \ln 2$

Correct Answer:

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