5.5 The Substitution Rule/67: Difference between revisions

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<math>\int_{e}^{e^4}\frac{dx}{x\sqrt{lnx}}</math> = <math>\int_{1}^{4}\frac{1}{u}du</math> = <math>\int_{1}^{4}u^{-1/2}du</math> = <math>\frac{u^{1/2}{1/2} \bigg|_{1}^{4}</math>
<math>\int_{e}^{e^4}\frac{dx}{x\sqrt{lnx}}</math> = <math>\int_{1}^{4}\frac{1}{u}du</math> = <math>\int_{1}^{4}u^{-1/2}du</math> = <math>\frac{1/2}{1/2}\bigg|_{1}^{4}</math>

Revision as of 19:59, 3 September 2022

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