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Evaluate the Integral ∫−π4π4tan⁡x dx\int _ { - \frac { \pi } { 4 } } ^ { \frac { \pi } { 4 } } \tan x \mathrm {~d} x

Question 31

Multiple Choice

Evaluate the integral. ∫−π4π4tan⁡x dx\int _ { - \frac { \pi } { 4 } } ^ { \frac { \pi } { 4 } } \tan x \mathrm {~d} x


A) ln⁡∣sec⁡(π4) ∣−ln⁡∣sec⁡(−π4) ∣\ln \left| \sec \left( \frac { \pi } { 4 } \right) \right| - \ln \left| \sec \left( - \frac { \pi } { 4 } \right) \right|
B) ln⁡∣sin⁡(π4) ∣−ln⁡∣sin⁡(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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