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{u^{1/2}{1/2}\bigg|_{1}^{4}</math> = <math> {2u}^{1/2}\bigg|_{1}^{4}</math> | ||
Revision as of 19:52, 3 September 2022
= = = Failed to parse (syntax error): {\displaystyle \frac{u^{1/2}{1/2}\bigg|_{1}^{4}} =
