Calculus 2 Volumes, Average value and work

[vapid nimbus]

I did question no. 3 a and got 2pi(((2)^5/5)-((2)^3/3))-12 as the answer. Icouldn'tt figure out how to find the avg value of a function.

[slim island]

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[halcyon bison]

Calculate this integral for the mean value of a function in a given interval [a,b]: $M = \frac{\int_{a}^{b}{f(x)dx}}{b-a}$

[tidal sigil]

Bonsai

[halcyon bison]

In your case it'll become: $M = \frac{\int_{0}^{1}{xe^x dx}}{1-0} = \int_{0}^{1}{xe^x dx}$

[tidal sigil]

Bonsai