5.5 The Substitution Rule/61: Difference between revisions
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= <math>\frac{1}{2}\int_{0}^{13}\frac{1}{\sqrt[3]{t^2}}dt</math> | = <math>\frac{1}{2}\int_{0}^{13}\frac{1}{\sqrt[3]{t^2}}dt</math> | ||
= <math>\frac{1}{2}\int_{0}^{13}\frac{1}{t^\frac{2}{3}}dt</math> | = <math>\frac{1}{2}\int_{0}^{13}\frac{1}{t^\frac{2}{3}}dt</math> | ||
= <math>\frac{1}{2}3\sqrt[3]{t}</math> | |||
= <math>\frac{1}{2}3\sqrt[3]{1+2x}</math> | |||
= <math>frac{3}{2}\sqrt[3]{1+2x}</math> | |||
Revision as of 19:30, 20 September 2022
= = = = = =
![{\displaystyle \int _{0}^{13}{\frac {dx}{\sqrt[{3}]{(1+2x)^{2}}}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/366746df0224b60295f774b7c9869a3c355329ff)
![{\displaystyle {\frac {1}{2}}\int _{0}^{13}{\frac {1}{\sqrt[{3}]{t^{2}}}}dt}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/1d54296bace91b1eb68b7a819d224cf901cf5b7d)
![{\displaystyle {\frac {1}{2}}3{\sqrt[{3}]{t}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/16a3b59a69048f671074fd0201320c2ffb6b137e)
![{\displaystyle {\frac {1}{2}}3{\sqrt[{3}]{1+2x}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/20415fd42cdb3705a79026c6b206e0d8eae227e1)
![{\displaystyle frac{3}{2}{\sqrt[{3}]{1+2x}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/301d7d3dd124d8be86a7d2779e83ccad463a77cd)