Mathematik-Online problems: Problem 123: Area under a Curve

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	Mathematik-Online problems:
	Problem 123: Area under a Curve

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

For each

let $f_a: D_a\longrightarrow\mathbb{R}$ be defined by

$\displaystyle f_a(x)=\frac{\sqrt{a^2-x^2}}{a^2}, \qquad {\mbox{for all}} \ x\in D_a.$

a): Find the domain $D_a\subset\mathbb{R}$ of and test the function for roots and lokal extremums. Sketch the graph of .
b): Find the area between the graph of and the -axis.

Hint: Substitute $x=a\sin u$ .

(Authors: Apprich/Höfert)

see also:

automatisch erstellt am 16. 11. 2007