INTEGRAL EKSPONENSIAL dan LOGARITMA

IKA ARFIANI,S.T

INTEGRAL EKSPONENSIAL

0,e1

e

edx e

axax

xx

aCa

dx

C

CONTOH

Cdxdx

Cdx

C

5x5x5x

9x9x

xx

e5

13e3e 3.3

e9

1e.2

e9dx 9e.1

dxx 35x2

e 3

1.4

x

dudxxdu

xU

1010

35 2

C

C

du

x

dux

35x

U

U

U

U

e30

1

e30

1

e10

1

3

1

10e

3

1

INTEGRAL LOGARITMA

Ca

adxa

Cxxxxdx

Cxdxx

xx

ln

||lnln

||ln1

CONTOH

Cxdxx

dxx

||ln41

44

.1

Cex

Cex

dxedxx

dxex

x

x

x

x

2

2

2

2

2

1||ln5

)2

1(||ln5

15

)5

(.2

dx

xx ln

1.3

dxx

du

xU

1

ln

CxCUduU

dxxx

dxxx

|ln|ln||ln1

1

ln

1

ln

11