Question

calcII
y=x^2, x=1, y=0 around x=2
using the shell method.
ans 5pi/6
drawing below.

Answer 1

What's your plan?

\(2\pi\int\limits_{??}^{??} Radius\cdot Height\;dx\)

Answer 2

pretty much

Answer 3

Okay, fill in the blanks.

Answer 4

i've figured out most of the pieces.

Answer 5

What are the limits of the integration?

Answer 6

2π∫(0,1)1⋅x^2dx

Answer 7

Not quite. Radius is (2-x)

Answer 8

should it be in terms of y? that's what my book says.

Answer 9

Limits are also [1,2].

dy for shells? No.

Answer 10

no, your misunderstanding the question.

Answer 11

Yup. I wraped the wrong piece. It's still not dy.