- #1
bobsmith76
- 336
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Homework Statement
The Attempt at a Solution
I dont' see why you don't take the antiderivative of pix^(1/2) which makes it
(2pix^(3/2))/3
Calculating Volume of a Solid Using Integrals
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The discussion centers on calculating the volume of a solid using integrals, specifically addressing the confusion around the integrand. The correct integrand is identified as π[√x]², leading to the antiderivative of (2πx^(3/2))/3. Participants express frustration over the textbook's lack of clarity on this topic. The importance of correctly interpreting the integrand is emphasized for accurate volume calculations. Clear understanding of these concepts is crucial for solving related problems effectively.
I dont' see why you don't take the antiderivative of pix^(1/2) which makes it
(2pix^(3/2))/3
- #2
jbunniii
Homework Helper
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Because the integrand is \pi [\sqrt{x}]^2, not \pi \sqrt{x}.
- #3
bobsmith76
- 336
- 0
thanks. my book did a real poor job of explaining that.