5.5 The Substitution Rule/51: Difference between revisions
Osbeenb61996 (talk | contribs) (Created page with "<math> \begin{align} & \int_{0}^{2} ({x-1})^25 dx \\[2ex] & \int {t^25} dt") |
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\begin{align} | \begin{align} | ||
& \int_{0}^{2} ({x-1})^25 dx \\[2ex] | & \int_{0}^{2} ({x-1})^{25} dx \\[2ex] | ||
& \ | \end{align} | ||
</math> | |||
<math> | |||
\begin{align} | |||
u &= x-1 \\[2ex] | |||
du &= dx \\[2ex] | |||
\end{align} | |||
</math> | |||
<math> | |||
\begin{align} | |||
\int_{0}^{2} {u^{25}} du = \frac{1}{26}{u^{26}} &= \cfrac{(x-1)^{26}} {26}\bigg|_{0}^{2} = \cfrac{(2-1)^{26}} {26} - \cfrac {(0-1)^{26}} {26} = \frac{1^{26}} {26} - \frac{-1^{26}} {26} = 0 \\[2ex] | |||
\end{align} | |||
</math> | |||
Latest revision as of 17:33, 7 September 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 \begin{align} & \int_{0}^{2} ({x-1})^{25} dx \\[2ex] \end{align} }
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 &= x-1 \\[2ex] du &= dx \\[2ex] \end{align} }
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} \int_{0}^{2} {u^{25}} du = \frac{1}{26}{u^{26}} &= \cfrac{(x-1)^{26}} {26}\bigg|_{0}^{2} = \cfrac{(2-1)^{26}} {26} - \cfrac {(0-1)^{26}} {26} = \frac{1^{26}} {26} - \frac{-1^{26}} {26} = 0 \\[2ex] \end{align} }