Evaluate the Double Integral Below $\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { 5 + 5 \sin \theta } \theta r d r d \theta$

question 16

Multiple Choice

Evaluate the double integral below. $\int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { 5 + 5 \sin \theta } \theta r d r d \theta$

• A) \(\frac { 225 } { 8 } + \frac { 5 } { 16 } \pi ^ { 2 }\)
• B) \(\frac { 225 } { 16 } + \frac { 75 } { 32 } \pi ^ { 2 }\)
• C) \(\frac { 225 } { 8 } + \frac { 75 } { 32 } \pi ^ { 2 }\)
• D) \(\frac { 225 } { 8 } + \frac { 75 } { 32 } \pi\)
• E) \(\frac { 5 } { 8 } + \frac { 5 } { 32 } \pi\)

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