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If I = \int C (sin2xtany)dx+xsec2ydy( \sin 2 x - \tan y ) d x + x \sec ^ { 2 } y d y

Question 23

Multiple Choice

If I = \int C (sin2xtany) dx+xsec2ydy( \sin 2 x - \tan y ) d x + x \sec ^ { 2 } y d y is independent of the path where C is a curve from (0,π4) \left( 0 , \frac { \pi } { 4 } \right) to (π4,π4) \left( \frac { \pi } { 4 } , - \frac { \pi } { 4 } \right) then I is


A) π+22\frac { \pi + 2 } { 2 }
B) π22\frac { \pi - 2 } { 2 }
C) π24- \frac { \pi - 2 } { 4 }
D) π24\frac { \pi - 2 } { 4 }
E) π+24\frac { \pi + 2 } { 4 }

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