(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi

I am trying to find the volume of a shape.I dont need help to solve, but I would like a hand setting these integrals up. Ive only recently started doing volumes, so bear with me.

Using the curves:

y=x

x=2-y^2

y=0

Indicate the method used and set the integrals up (dont have to integrate) that give the volume of the solid by rotating the region around:

a) the x axis

b) the y axis

c) the line x=-2

d) the line y=1

3. The attempt at a solution

a) Use the DISK method, Integrate from 0 > 2

(pi)(y^2) dx

= (pi)(x-sqrt(2-x))^2 dx

b) Use SHELL method from 0 > 2

2(pi)(x)(y)

= 2(pi)(x)(x-sqrt(2-x))

c) and d)

Not totally sure, would I just have to incorporate that line into the formula? That is confusing me.

If someone could let me know if a and b are right, and give some guidance in c and d that would be great.

Thanks

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# Homework Help: Help with setting up Integrals for volumes

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