5.4 Indefinite Integrals and the Net Change Theorem/21: Difference between revisions
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<math>\int_{0}^{2}(6x^{2}-4x+5) dx</math> = <math>\frac{6x^{2+1}}{2+1}-\frac{4x^{1+1}}{1+1}+{5x}\bigg|_{0}^{2}</math> = <math>\frac{6x^{3}}{3}-\frac{4x^{2}}{2}+{5x}\bigg|_{0}^{2}</math> = <math>2x^{3}-2x^{2}+{5x}\bigg|_{0}^{2}</math> | <math>\int_{0}^{2}(6x^{2}-4x+5) dx</math> = <math>\frac{6x^{2+1}}{2+1}-\frac{4x^{1+1}}{1+1}+{5x}\bigg|_{0}^{2}</math> = <math>\frac{6x^{3}}{3}-\frac{4x^{2}}{2}+{5x}\bigg|_{0}^{2}</math> = <math>2x^{3}-2x^{2}+{5x}\bigg|_{0}^{2}</math> = <math>2(2)^{3}-2(2)^{2}+{5(2)}-2(0)^{3}-2(0)^{2}+{5(0)}\bigg|_{0}^{2}</math> | ||
Revision as of 19:18, 30 August 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 \int_{0}^{2}(6x^{2}-4x+5) dx} = 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{6x^{2+1}}{2+1}-\frac{4x^{1+1}}{1+1}+{5x}\bigg|_{0}^{2}} = Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\frac {6x^{3}}{3}}-{\frac {4x^{2}}{2}}+{5x}{\bigg |}_{0}^{2}} = 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 2x^{3}-2x^{2}+{5x}\bigg|_{0}^{2}} = 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 2(2)^{3}-2(2)^{2}+{5(2)}-2(0)^{3}-2(0)^{2}+{5(0)}\bigg|_{0}^{2}}