Evaluate \(\mathop \smallint \limits_0^1 \mathop \smallint \limits_0^{\sqrt {1 + {x^2}} } \frac{{dx.dy}}{{\left( {1 + {x^2} + {y^2}} \right)}}\)

\(\frac{\pi }{2}\left[ {\log \left( {1 - \sqrt 2 } \right)} \right]\)

\(\frac{\pi }{2}\left[ {\log \left( {1 + \sqrt 2 } \right)} \right]\)

\(\frac{\pi }{4}\left[ {\log \left( {1 + \sqrt 2 } \right)} \right]\)

\(\frac{\pi }{4}\left[ {\log \left( {1 - \sqrt 2 } \right)} \right]\)

Evaluate \(\mathop \smallint \limits_0^1 \mathop \smallint \limits_0^

1.	Evaluate \(\mathop \smallint \limits_0^1 \mathop \smallint \limits_0^{\sqrt {1 + {x^2}} } \frac{{dx.dy}}{{\left( {1 + {x^2} + {y^2}} \right)}}\)
A.	\(\frac{\pi }{2}\left[ {\log \left( {1 + \sqrt 2 } \right)} \right]\)
B.	\(\frac{\pi }{4}\left[ {\log \left( {1 + \sqrt 2 } \right)} \right]\)
C.	\(\frac{\pi }{2}\left[ {\log \left( {1 - \sqrt 2 } \right)} \right]\)
D.	\(\frac{\pi }{4}\left[ {\log \left( {1 - \sqrt 2 } \right)} \right]\)
Answer» C. \(\frac{\pi }{2}\left[ {\log \left( {1 - \sqrt 2 } \right)} \right]\)

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Evaluate \(\mathop \smallint \limits_0^1 \mathop \smallint \limits_0^{\sqrt {1 + {x^2}} } \frac{{dx.dy}}{{\left( {1 + {x^2} + {y^2}} \right)}}\)

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