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1 vote
0 answers
42 views

Find the volume $V$ as a result of revolving the region between $f(x) = x^2 - 2x$ and $g(x) = x$ around the line $y = 4$.

For context, I'm self-studying calculus and am doing some practice problems to test my understanding of solids of revolution. I want to ask: Are my solutions (using both Disc and Shell Integration) to ...
Amanuensis Frances's user avatar
1 vote
2 answers
282 views

Integrate $\int x\sqrt{1+\sec^4x}dx$

I've been solving some homework in Area of a Surface of Revolution and this integration popped up, I couldn't solve it and can't find anything online about it, plus integral calculator can't solve it ...
Someone's user avatar
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0 votes
1 answer
72 views

How can I solve this trigonometric integral step by step?

I have already posted a question similar to this one so I'm sorry if you're seeing this again. However, I'd like to whether I could get help solving the below definite integral step by step because I ...
WebSurfer's user avatar