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Evaluate the Integral π/4π/43sinh(tanθ)sec2θdθ\int _ { - \pi / 4 } ^ { \pi / 4 } 3 \sinh ( \tan \theta ) \sec ^ { 2 } \theta d \theta

Question 154

Multiple Choice

Evaluate the integral.
- π/4π/43sinh(tanθ) sec2θdθ\int _ { - \pi / 4 } ^ { \pi / 4 } 3 \sinh ( \tan \theta ) \sec ^ { 2 } \theta d \theta


A) 3
B) 0
C) 3(e1e) 3 \left( e - \frac { 1 } { e } \right)
D) 3(eπ/4eπ/4) 3 \left( e ^ { \pi / 4 } - e ^ { - \pi / 4 } \right)

Correct Answer:

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