5.5 The Substitution Rule/2: Difference between revisions
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\int x^3(2+x^4)^5dx = \int x^3dx(2+x^4) = \int \left(\frac{1}{4}du\right) | \int x^3(2+x^4)^5dx = \int x^3dx(2+x^4) = \int \left(\frac{1}{4}du\right)(u) | ||
</math> | </math> | ||
Revision as of 18:55, 26 August 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 \int x^3(2+x^4)^5dx \text{,} \quad u=2+x^4 }
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 \begin{align} u &=2+x^4 \\[2ex] du &= 4x^3dx \\[2ex] \frac{1}{4}du &= x^3dx \end{align} }
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int x^{3}(2+x^{4})^{5}dx=\int x^{3}dx(2+x^{4})=\int \left({\frac {1}{4}}du\right)(u)}