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Evaluate the Integral π4π4tanx dx\int _ { - \frac { \pi } { 4 } } ^ { \frac { \pi } { 4 } } \tan x \mathrm {~d} x

Question 31

Multiple Choice

Evaluate the integral. π4π4tanx dx\int _ { - \frac { \pi } { 4 } } ^ { \frac { \pi } { 4 } } \tan x \mathrm {~d} x


A) lnsec(π4) lnsec(π4) \ln \left| \sec \left( \frac { \pi } { 4 } \right) \right| - \ln \left| \sec \left( - \frac { \pi } { 4 } \right) \right|
B) lnsin(π4) lnsin(π4) \ln \left| \sin \left( \frac { \pi } { 4 } \right) \right| - \ln \left| \sin \left( \frac { \pi } { 4 } \right) \right|
C) sin(π4) sin(π4) \sin \left( - \frac { \pi } { 4 } \right) - \sin \left( \frac { \pi } { 4 } \right)
D) cos(π4) cos(π4) \cos \left( \frac { \pi } { 4 } \right) - \cos \left( - \frac { \pi } { 4 } \right)
E) none of these

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