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Question 24
The value of the definite integral ∫−ππe3−e−32dx\int _ { - \pi } ^ { \pi } \frac { e ^ { 3 } - e ^ { - 3 } } { 2 } d x∫−ππ2e3−e−3dx is
A) (e48−e−24) π\left( \frac { e ^ { 4 } } { 8 } - \frac { e ^ { - 2 } } { 4 } \right) \pi(8e4−4e−2) π B) (e44−e−22) π\left( \frac { e ^ { 4 } } { 4 } - \frac { e ^ { - 2 } } { 2 } \right) \pi(4e4−2e−2) π C) e3−e−3) π\left. e ^ { 3 } - e ^ { - 3 } \right) \pie3−e−3) π D) (e32−e−32) π\left( \frac { e ^ { 3 } } { 2 } - \frac { e ^ { - 3 } } { 2 } \right) \pi(2e3−2e−3) π E) 2π(e3−e−3) 2 \pi \left( e ^ { 3 } - e ^ { - 3 } \right) 2π(e3−e−3)
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