Write an Integral That Represents the Area of the Shaded $r = \cos 2 \theta \text { as }$

question 28

Multiple Choice

Write an integral that represents the area of the shaded region for $r = \cos 2 \theta \text { as }$ shown in the figure. Do not evaluate the integral.

• A)\(\int _ { - 5 \pi / 4 } ^ { - 3 \pi / 4 } ( \cos 2 \theta ) ^ { 2 } d \theta\)
• B)\(\int _ { - 5 \pi / 2 } ^ { - 3 \pi / 2 } ( \cos 2 \theta ) ^ { 2 } d \theta\)
• C) \(\frac { 1 } { 2 } \int _ { 3 \pi / 2 } ^ { 5 \pi / 2 } ( \cos 2 \theta ) ^ { 2 } d \theta\)
• D) \(\frac { 1 } { 2 } \int _ { - 5 \pi / 4 } ^ { - 3 \pi / 4 } ( \cos 2 \theta ) ^ { 2 } d \theta\)
• E) \(\frac { 1 } { 2 } \int _ { 3 \pi / 4 } ^ { 5 \pi / 4 } ( \cos 2 \theta ) ^ { 2 } d \theta\)

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