6.2 Volumes/7: Difference between revisions
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(Created page with "<math>y=x^{3}</math>, <math>y=x</math>, (x-axis) <math>pi\int_{0}^{1}\left((x)^2-(x^3)^2)\right)dx</math> <math>=(pi)\int_{0}^{1}\left((x^2-x^6)\right)dx</math> <math>=pi(\frac{x^3}{3}-\frac{x^7}{7})\bigg|_{0}^{1}</math> <math>=pi(\frac{1}{3}-\frac{1}{7})</math> <math>=\frac{7pi}{21}-\frac{3pi}{21}</math> <math>=\frac{4pi}{21}</math>") |
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<math>y=x^{3}</math>, <math>y=x</math>, (x-axis) | <math>y=x^{3}</math>, <math>y=x</math>, (x-axis) | ||
<math>pi\int_{0}^{1}\left((x)^2-(x^3)^2)\right)dx</math> | <math>\pi\int_{0}^{1}\left((x)^2-(x^3)^2)\right)dx</math> | ||
<math>=(pi)\int_{0}^{1}\left((x^2-x^6)\right)dx</math> | <math>=(\pi)\int_{0}^{1}\left((x^2-x^6)\right)dx</math> | ||
<math>=pi(\frac{x^3}{3}-\frac{x^7}{7})\bigg|_{0}^{1}</math> | <math>=\pi(\frac{x^3}{3}-\frac{x^7}{7})\bigg|_{0}^{1}</math> | ||
<math>=pi(\frac{1}{3}-\frac{1}{7})</math> <math>=\frac{7pi}{21}-\frac{3pi}{21}</math> <math>=\frac{4pi}{21}</math> | <math>=\pi(\frac{1}{3}-\frac{1}{7})</math> <math>=\frac{7pi}{21}-\frac{3pi}{21}</math> <math>=\frac{4pi}{21}</math> | ||
Revision as of 20:45, 29 November 2022
, , (x-axis)
