5.5 The Substitution Rule/61: Difference between revisions
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<math>\int_{0}^{13}\frac{dx}{\sqrt[3]{(1+2x)^2}}</math> | <math>\int_{0}^{13}\frac{dx}{\sqrt[3]{(1+2x)^2}}</math> | ||
= <math>\int_{0}^{13}\frac{1}{2^3\sqrt{t^2}}dt</math> | = <math>\int_{0}^{13}\frac{1}{2^3\sqrt{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}{\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> | ||
Revision as of 19:25, 20 September 2022
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![{\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)
