Thread: Urgent help with integration!

1. Urgent help with integration!

I've attached two photos, it's a question on volumes integration (2U), and on my second attachment is my working out. Is it correct?
And also when do I use this method of subtracting the volume under the curve from the volume of the cylinder? i.e ∏r^2h

Screen Shot 2018-01-06 at 5.35.57 pm.png https://dl2.pushbulletusercontent.co...106_174234.jpg

2. Re: Urgent help with integration!

I think the reqd integral is:

$V = \pi\int ^4 _0 (4^2 - (x-2)^4)dx$

3. Re: Urgent help with integration!

Can you give me the exercise and number of the question I'll send you a phot of the solutions

4. Re: Urgent help with integration!

Your method is totally correct but you made a simple mistake with 64pi - 64/5pi being equal to 256/5pi not 241/5pi. Other than that, you can use the subtracting from cylinder method as long as the other function (i.e. (x-2)^2) is not above the line y=4

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5. Re: Urgent help with integration!

I think the second part is just redundant, try to do it in one step like Drongoski has proposed,

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