5.3 The Fundamental Theorem of Calculus: Difference between revisions

Revision as of 16:32, 23 August 2022

1. FTC #1 Failed to parse (syntax error): {\displaystyle \int_{a(x))^(b(x))=}

x

is called the input or argument of the function and

f(x)

or

y

is called the output or value at

x

ex. If

f(x)=x^{2}+x+1

what is the value of

f

at

x=3

?

The value of

f

at

x=3{\text{ is }}13

2.

(x,y){\text{ or }}(x,f(x))

is called an ordered pair where

x

is the input and

y{\text{ or }}f(x)

is the output

@@ Line 2: / Line 2: @@
 * [https://youtu.be/4wtY6o87BuE Link]
+== Lecture notes ==
+: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