Evaluate the Double Integral Below $$\int _ { 0 } ^ { \frac { \pi } { 5 } } \int _ { 0 } ^ { 5 } r ^ { 5 } \sin \theta \cos \theta d r d \theta$$

question 70

Multiple Choice

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

• A) \(\frac { 1202 } { 1203 } \sin \frac { \pi } { 5 }\)
• B) \(\frac { 15625 } { 12 } \sin \frac { \pi } { 5 }\)
• C) \(\frac { 12 } { 15625 } \sin ^ { 2 } \frac { \pi } { 5 }\)
• D) \(\frac { 15625 } { 12 } \sin ^ { 2 } \frac { \pi } { 5 }\)
• E) \(\frac { 1 } { 12 } \sin ^ { 2 } \frac { \pi } { 5 }\)

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