The integral value of \(\int_0^a \int_0^x \int_0^{x+y} e^{x+y+z} \,dz \,dy \,dx\) is given by _____

\(=\frac{1}{3}(e^{4a}+6e^{2a}+8e^{a}+3)\)

\(=\frac{1}{3}(e^{4a}-6e^{2a}+4e^{a}+3)\)

\(=\frac{1}{8}(e^{4a}-6e^{2a}+8e^{a}-3)\)

The integral value of \(\int_0^a \int_0^x \int_0^{x+y} e^{x+y+z} \,dz

1.	The integral value of \(\int_0^a \int_0^x \int_0^{x+y} e^{x+y+z} \,dz \,dy \,dx\) is given by _____
A.	\(=\frac{1}{3}(e^{4a}+6e^{2a}+8e^{a}+3)\)
B.	\(=\frac{1}{3}(e^{4a}-6e^{2a}+4e^{a}+3)\)
C.	\(=\frac{1}{8}(e^{4a}-6e^{2a}+8e^{a}-3)\)
D.	0
Answer» D.

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