5.3 The Fundamental Theorem of Calculus

Lecture

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Lecture notes

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