Evaluate the Integral by Changing the Order of Integration in an Appropriate

question 50

Multiple Choice

Evaluate the integral by changing the order of integration in an appropriate way.
- $\int _ { 0 } ^ { 50 } \int _ { x / 10 } ^ { 5 } \int _ { 0 } ^ { \infty } z e ^ { - \left( y ^ { 2 } + z ^ { 2 } \right) } d z d y d x$

• A) \(5 \left( 1 - e ^ { - 50 } \right)\)
• B) \(5 \left( 1 - \mathrm { e } ^ { - 25 } \right)\)
• C) \(\frac { 5 } { 2 } \left( 1 - \mathrm { e } ^ { - 50 } \right)\)
• D) \(\frac { 5 } { 2 } \left( 1 - \mathrm { e } ^ { - 25 } \right)\)

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