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Find the Value of the Integral 01ln(1+x2)dx\int _ { 0 } ^ { 1 } \ln \left( 1 + x ^ { 2 } \right) d x

Question 106

Multiple Choice

Find the value of the integral 01ln(1+x2) dx\int _ { 0 } ^ { 1 } \ln \left( 1 + x ^ { 2 } \right) d x


A) ln2\ln 2

B) π8\frac { \pi } { 8 }
C) π22+ln2\frac { \pi } { 2 } - 2 + \ln 2
D) 2ln22 - \ln 2
E) π4+ln2\frac { \pi } { 4 } + \ln 2
F) π4\pi - 4

G) π2\pi - 2

H) πln2\pi - \ln 2

Correct Answer:

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