Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.
-$$y = 7 e ^ { x ^ { 2 } } , y = 0 , x = 0 , x = 1$$
A) $14 \mathrm { e } \pi$
B) $7 ( \mathrm { e } - 1 ) \pi$
C) $14 ( \mathrm { e } - 1 ) \pi$
D) $\frac { 7 } { 2 } ( \mathrm { e } - 1 ) \pi$

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The Answer of Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.
-$$y = 7 e ^ { x ^ { 2 } } , y = 0 , x = 0 , x = 1$$
A) $14 \mathrm { e } \pi$
B) $7 ( \mathrm { e } - 1 ) \pi$
C) $14 ( \mathrm { e } - 1 ) \pi$
D) $\frac { 7 } { 2 } ( \mathrm { e } - 1 ) \pi$

Use the Shell Method to Find the Volume of the Solid