5.5 The Substitution Rule/45: Difference between revisions
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<math> | <math> | ||
\begin{align} | \begin{align} | ||
\int_{}^{} \left(\frac {x}{\sqrt[4]{x+2}}\right)dx &= \int_{}^{} \left | \int_{}^{} \left(\frac {x}{\sqrt[4]{x+2}}\right)dx &= \int_{}^{} \left(\frac({u-2}{\sqrt[4]{u}}\right) | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 16:07, 7 September 2022
![{\displaystyle \int _{}^{}\left({\frac {x}{\sqrt[{4}]{x+2}}}\right)dx}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/027085a0358008373de484ce727072a0833147c6)
![{\displaystyle {\begin{aligned}u&=x+2\\[2ex]du&=1dx\\[2ex]u-2&=x\\[2ex]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/7f086d72789e0c38347c5e01beecd53006c6b483)
![{\displaystyle {\begin{aligned}\int _{}^{}\left({\frac {x}{\sqrt[{4}]{x+2}}}\right)dx&=\int _{}^{}\left({\frac {(}{u-2}}{\sqrt[{4}]{u}}\right)\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/7ec8d599deb91a9a6d2155a3f24a1170e344ec65)