Hoy

f,o

evaluate

a

dpfinite

inter?at

t

fo

*Evaluating

a definite integral,

I

(x)dx,

requires

a2 step

process.

v&

-l*

Orl"*t**.r

Pfr,*-ot4-

*

-Can

you

explaia

the

significance

of the

different

answers

in

the hJt

2 examples?

-show

how

to

get

a definite integral

on

the TI-83

(uumerical

integration).

'

'

,

*First,

we integrate

(disregard

the

constaat

ofintegration).

[say

the

result

ofthe

integration

is f(x)]

@

*r6*we

substitute

the

upper

limit,

b,

in F(x)

and

substitute

the

lower limit

a

in F(x),

then subtract

the

reoults.

-rhis

can

be summarized like

tlis:

fid*

=

,r*Fft)

*

F(a)

d&

-l,et's

do some:

7i

=

i

lt-

-1'-

i'

l-i

= ?-!

=

y

4*=*

=

€

),

I

-s

.

r

f''^ a ,

-^-4

l- .,-'

.grr*'-7x-5)&

=

(i#o*

rt'-

snll:

ft#rr

r#,-

to)-

o

=

tb

{o--7)zdx

E

i!r'(exq)Ls&,cs

j

,ryr'#

{[o-rt2rr-t)I=

/

i''.d*

=

f{#&*

=

ib^r*-+DJo!

:

Lor-t-'-tf

=

ih

*

J.,5

i'r."d*

s

t

,

f;-

?hc

v-+

d

*J'=

*[J';]=

*k'-'..

.l sinxdx

va

ztt

lsit

*

o*

t/o