What is the value of integral \(∭_Re^{{(x^2+y^2+z^2)}^{\frac{3}{2}}} – McqOptions

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1.	What is the value of integral \(∭_Re^{{(x^2+y^2+z^2)}^{\frac{3}{2}}} \,dx \,dy \,dz \) where R is the region given by x2+y2+z2≤1?
A.	\(\frac{4π(e-1)}{3}\)
B.	\(\frac{4π(e^3-1)}{3}\)
C.	\(\frac{4π(e^2+1)}{3}\)
D.	\(\frac{8π(e+1)}{3}\)
Answer» B.

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