A) $\frac { \pi } { 4 } \pi \left( 1 - e ^ { - 8 } \right)$

question 60

Multiple Choice

$$\text { Evaluate the iterated integral } \int _ { 0 } ^ { \pi / 2 } \int _ { 0 } ^ { 8 } \int _ { 0 } ^ {e^ {- y ^ { 2 }} } r d z d r d \theta \text {. }$$

• A) \(\frac { \pi } { 4 } \pi \left( 1 - e ^ { - 8 } \right)\)
• B) \(\frac { \pi } { 4 } \left( 1 - e ^ { - 64 } \right)\)
• C) \(4 \pi \left( 1 + e ^ { - 8 } \right)\)
• D) \(2 \pi \left( 1 + e ^ { - 8 } \right)\)
• E) \(\frac { \pi } { 2 } \left( 1 - e ^ { - 64 } \right)\)

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