Evaluate the Integral De $\mathrm { d } \varphi$ A) $\frac { 1 } { 24 } \pi ( 15 \pi - 16 )$

question 212

Multiple Choice

Evaluate the integral.
- $\int _ { 0 } ^ { \pi } \int _ { ( 1 - \sin \varphi ) / 2 } ^ { ( 1 - \cos \varphi ) / 2 } \int _ { 0 } ^ { 4 \pi } \varrho ^ { 2 } \sin \varphi \mathrm { d } \theta$ de $\mathrm { d } \varphi$

• A) \(\frac { 1 } { 24 } \pi ( 15 \pi - 16 )\)
• B) \(\frac { 1 } { 48 } \pi ( 15 \pi - 16 )\)
• C) \(\frac { 1 } { 24 } \pi ( 15 \pi - 8 )\)
• D) \(\frac { 1 } { 48 } \pi ( 15 \pi - 8 )\)

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