Find the Area of the Specified Region $r = \alpha ( 1 + \sin \theta ) , \alpha > 0$

question 342

Multiple Choice

Find the area of the specified region.
-Inside the cardioid $r = \alpha ( 1 + \sin \theta ) , \alpha > 0$

• A) \(\frac { 3 \alpha ^ { 2 } \pi } { 2 }\)
• B) \(\frac { 3 \alpha ^ { 2 } \pi } { 2 } + 2 \alpha ^ { 2 }\)
• C) \(2 \alpha \pi\)
• D) \(\frac { 3 \alpha ^ { 2 } \pi } { 2 } - 2 \alpha ^ { 2 }\)

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