5.5 The Substitution Rule/27: Difference between revisions
Jump to navigation
Jump to search
Osbeenb61996 (talk | contribs) No edit summary |
Osbeenb61996 (talk | contribs) No edit summary |
||
Line 8: | Line 8: | ||
& \cfrac{t^2}{2} \\[2ex] | & \cfrac{t^2}{2} \\[2ex] | ||
& \ | & \text{Substitute}t=\sqrt[3]{1+z^3}\text \\[2ex] | ||
&= \cfrac\sqrt[3]{(1+z^3)^2}{2} + C | &= \cfrac\sqrt[3]{(1+z^3)^2}{2} + C |
Revision as of 21:38, 6 September 2022
Failed to parse (unknown function "\begin{align}"): {\displaystyle \begin{align} & \int \cfrac{z^2}{\sqrt[3]{1+z^3}} dz \\[2ex] & \int{tdt} \\[2ex] & \cfrac{t^2}{2} \\[2ex] & \text{Substitute}t=\sqrt[3]{1+z^3}\text \\[2ex] &= \cfrac\sqrt[3]{(1+z^3)^2}{2} + C \end{align} }