3. Find the volume of the solid with cross-sectional area A(x) = 10 e^0.01x, 0 ≤ x ≤ 10.

1 answer

e^x is non-negative, so the volume is the definite integral from 0 to 10 of
I=∫A(x)dx
=0.01*10e^0.01x
=0.1*e^0.01x
evaluated from 0 to 10