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

Question 350

Multiple Choice

Evaluate the integral by changing the order of integration in an appropriate way.
- 0021y/37e(x2+z) dxdydz\int _ { 0 } ^ { \infty } \int _ { 0 } ^ { 21 } \int _ { y / 3 } ^ { 7 } e ^ { - \left( x ^ { 2 } + z \right) } d x d y d z


A) 34(1e56) \frac { 3 } { 4 } \left( 1 - e ^ { - 56 } \right)
B) 34(1e49) \frac { 3 } { 4 } \left( 1 - \mathrm { e } ^ { - 49 } \right)
C) 32(1e49) \frac { 3 } { 2 } \left( 1 - \mathrm { e } ^ { - 49 } \right)
D) 32(1e56) \frac { 3 } { 2 } \left( 1 - e ^ { - 56 } \right)

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