Question

Find the volume of the solid with cross-sectional area A(x). A(x) = x + 2, -1 ≤ x ≤ 3

Answer 1

@precal can u help?

Answer 2

calculus correct?

Answer 3

yes

Answer 4

not the ones I like to do, somehow it involves geometry, not sure about this one

Answer 5

ok

Answer 6

@amistre64 do you know how to do this one?

Answer 7

A(x) = x + 2

since this defines the area of any given "slice", then yes

\[\int_{-1}^{3}x+2~dx\]

Answer 8

geometrywise, its the area of a trap; average of the heights times base

(3--1) [(-1+2) + (3+2)]/2

4 (3) = 12

Answer 9

okay i see