5.5 The Substitution Rule/27: Difference between revisions
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\begin{align} | \begin{align} | ||
u &=1+{z}^3 | u &=1+{z}^3 \\[2ex] | ||
du &=3{z}^2dz | du &=3{z}^2dz \\[2ex] | ||
\frac{1}{3}du &={z}^2dz \\[2ex] | \frac{1}{3}du &={z}^2dz \\[2ex] | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
Revision as of 16:06, 7 September 2022
![{\displaystyle \int {\cfrac {z^{2}}{\sqrt[{3}]{1+z^{3}}}}dz}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/a16762723c154c008294ac839f1997ba1455d543)
![{\displaystyle {\begin{aligned}u&=1+{z}^{3}\\[2ex]du&=3{z}^{2}dz\\[2ex]{\frac {1}{3}}du&={z}^{2}dz\\[2ex]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/a2fa06923c4c79966cfebb815eb85a2321de6418)