YOUR LIFES ADVENTURE IS TAKEN

ONE SMALL STEP AT A TIME (i.e. PATIENCE)

Application of Definite Integral

Find the total area bounded by the curves,

( ) sin(3 ),

( ) ln( 2) .3

f x x

g x x

Find the Points of Intersection

sin(3 ) ln( 2) .3x x .959

.164

.778

x

or

x

or

x

A

B

C

( .959, .260)

(.164,.472)

(.778,.722)

A

B

C

The total area = (concept).164 .778

.959 .164

Analyze Graph and Fill in Functions for Total Area

AB

C

.164 .778

.959 .164

[ ( ) ( )] [ ( ) ( )]g x f x dx f x g x dx

( .959, .260)

(.164,.472)

(.778,.722)

A

B

C

f(x)

g(x)

.164

.959

[ln( 2) .3 sin(3 )]x x dx

.778

.164

[sin(3 ) (ln[ 2] .3)]x x dx

= .784 + .155 = .939

or,.778

.959

ln( 2) .3 sin(3 )x x dx

= .939

AREA = (details)

Can I Take A Break Now?

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