Solve: \( \displaystyle \int _{ 0 }^{ \frac { \pi }{ 4 } }{ x.\sec ^{ 2 }{ x } } dx \)

1
\( \cfrac { \pi }{ 4 } +\log{ \sqrt { 2 } } \)
2
\( \cfrac { \pi }{ 4 } -\log { \sqrt { 2 } } \)
3
\( 1+\log { \sqrt { 2 } } \)
4
\( 1-\cfrac { 1 }{ 2 } \log { 2 } \)

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