5.3 The Fundamental Theorem of Calculus/35
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Revision as of 19:30, 25 August 2022 by Josuem95981@students.laalliance.org (talk | contribs)
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}\int _{1}^{9}{\frac {1}{2x}}dx={\frac {1}{2}}\int _{1}^{9}{\frac {1}{x}}dx&={\frac {1}{2}}\ln {|x|}{\bigg |}_{1}^{9}={\frac {1}{2}}\ln {|9|}-{\frac {1}{2}}\ln {|1|}&=\ln {|9^{\frac {1}{2}}|}-\ln {|1^{\frac {1}{2}}|}\end{aligned}}}