Find the Area of the Region Bounded by the Graphs $f ( x ) = \sin ( x ) , g ( x ) = \cos ( 2 x ) , \frac { - \pi } { 2 } \leq x \leq \frac { \pi } { 6 }$

question 14

Multiple Choice

Find the area of the region bounded by the graphs of the equations.
$f ( x ) = \sin ( x ) , g ( x ) = \cos ( 2 x ) , \frac { - \pi } { 2 } \leq x \leq \frac { \pi } { 6 }$

• A)
• \[A = \frac { 9 } { 2 }\]
• B)
• \[A = \frac { 9 } { 8 }\]
• C)
• \[A = \frac { 3 } { 8 }\]
• D)
• \[A = \frac { 3 ^ { 3 / 2 } } { 4 }\]
• E)
• \[A = \frac { 3 } { 2 }\]

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