5.5 The Substitution Rule/65
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Revision as of 09:16, 7 September 2022 by Rubyp61202@students.laalliance.org (talk | contribs) (Created page with "<math> \int_{1}^{2} x \sqrt{x-1} dx = \int_{0}^{1} u+1 \sqrt{u}du = \int_{0}^{1}(u + 1)(\sqrt{u}) = \int_{0}^{1} u^ \frac{2}{3} + \sqrt{u}du = \frac{2}{5} + \frac{2}{3} = \frac{16}{15} </math>")
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \int _{1}^{2}x{\sqrt {x-1}}dx=\int _{0}^{1}u+1{\sqrt {u}}du=\int _{0}^{1}(u+1)({\sqrt {u}})=\int _{0}^{1}u^{\frac {2}{3}}+{\sqrt {u}}du={\frac {2}{5}}+{\frac {2}{3}}={\frac {16}{15}}}