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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.
- 050x/1050ze(y2+z2) dzdydx\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(1e50) 5 \left( 1 - e ^ { - 50 } \right)
B) 5(1e25) 5 \left( 1 - \mathrm { e } ^ { - 25 } \right)
C) 52(1e50) \frac { 5 } { 2 } \left( 1 - \mathrm { e } ^ { - 50 } \right)
D) 52(1e25) \frac { 5 } { 2 } \left( 1 - \mathrm { e } ^ { - 25 } \right)

Correct Answer:

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