Find the Value of the Integral $\int _ { 0 } ^ { x / 2 } e ^ { x } \cos x d x$

Find the value of the integral $\int _ { 0 } ^ { x / 2 } e ^ { x } \cos x d x$

A) $\frac { e ^ { s / 4 } + 1 } { 2 }$

B) $\frac { e ^ { s / 2 } + 1 } { 2 }$
C) $\frac { \pi } { 2 }$
D) $\frac { e ^ { x / 2 } - 1 } { 4 }$
E) 2

F) $\frac { e ^ { x / 4 } - 1 } { 2 }$
11
G) $\frac { e ^ { x / 2 } + 1 } { 4 }$

H) $\frac { e ^ { x / 2 } - 1 } { 2 }$

Correct Answer:

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