5.3 The Fundamental Theorem of Calculus: Difference between revisions

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== Lecture notes ==
== Lecture notes ==


:1. FTC #1 <math>\int_{a(x))^(b(x))=</math><br>
:1. FTC #1  
 
:: <math>\int_{a(x)}^{b(x)}=</math><br>
: <math>x</math> is called the <b>input</b> or <b>argument</b> of the function and <math>f(x)</math> or <math>y</math> is called the <b>output</b> or <b>value</b> at <math>x</math>
:: ex. If <math>f(x)=x^2+x+1</math> what is the value of <math>f</math> at <math>x=3</math>?
:: The value of <math>f</math> at <math>x=3 \text{ is } 13</math>
 
:2. <math>(x, y) \text{ or } (x, f(x)) </math> is called an <b>ordered pair</b> where <math>x</math> is the input and <math>y \text{ or } f(x)</math> is the output

Revision as of 16:32, 23 August 2022

Lecture

Lecture notes

1. FTC #1
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_{a(x)}^{b(x)}=}
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