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

question 31

Multiple Choice

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

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

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