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>{2u}^{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 19:57, 3 September 2022
= = = Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \frac{u}^{1/2}{1/2}\bigg|_{1}^{4}} =
