5.5 The Substitution Rule/27: Difference between revisions
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& \int \cfrac{z^2}{\sqrt[3]{1+z^3}} dz \\[2ex] | & \int \cfrac{z^2}{\sqrt[3]{1+z^3}} dz \\[2ex] | ||
& \int{tdt} | & \int{tdt} \\[2ex] | ||
& \cfrac{t^2}{2} | & \cfrac{t^2}{2} \\[2ex] | ||
& \cfrac{\sqrt[3]{(1+z^3)^2}}{2} +c | |||
Revision as of 20:13, 1 September 2022
![{\displaystyle {\begin{aligned}&\int {\cfrac {z^{2}}{\sqrt[{3}]{1+z^{3}}}}dz\\[2ex]&\int {tdt}\\[2ex]&{\cfrac {t^{2}}{2}}\\[2ex]&{\cfrac {\sqrt[{3}]{(1+z^{3})^{2}}}{2}}+c\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/2ab22f5118d8e575d927309d6fcbe128550c6361)