a. Show that if ƒ is odd on [-a,a] then b. Test the result

Chapter 5, Problem 114E

(choose chapter or problem)

a. Show that if $f$ is odd on $[-a,a]$, then

$\int_{-a}^{a} f(x) d x=0$

b. Test the result is part (a) with $f(x)= \sin x$ and $a=\pi / 2$.

Equation Transcription:

$f$

$[a,a]$

$\int\limits_{-a}^{a}f(x)\ dx\ =\ 0$

$f(x)=sin\ x$

$a=\pi{}/2$

Text Transcription:

[a,a]

Integral_-a ^a f(x) dx = 0

f(x)=sin x

a=pi/2

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