6.2 Volumes/7: Difference between revisions
(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
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle y=x^{3}} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle y=x} , (x-axis)
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \pi\int_{0}^{1}\left((x)^2-(x^3)^2)\right)dx}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle =(\pi)\int_{0}^{1}\left((x^2-x^6)\right)dx}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle =\pi(\frac{x^3}{3}-\frac{x^7}{7})\bigg|_{0}^{1}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle =\pi(\frac{1}{3}-\frac{1}{7})} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle =\frac{7pi}{21}-\frac{3pi}{21}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle =\frac{4pi}{21}}