7/25/2019 integral tablosu.pdf

1/1

ntegral Tablosu

1

dx ln xx

n n

1 xdx

x n 1 x

u dv u v v du 1 nn xx dx1 n

ln ax b1 dxax b a

21 1dx

x ax a

n 1

n x ax a dx

n 1 2

1dx arctan x

1 x

2 2

1 1 xdx arctan

a x a a

x xxe dx x 1 e

2 22 2x 1

dx ln a xa x 2

2

2 2

x xdx x a arctan

a x a

ax

ax e

e dxa

ax ax

2

x 1x e dx e

a a

2ax erf ax1e dx2 a

ln ax b b bln ax b dx ln ax b x xa a

2ln ax

dx 1 / 2 ln axx

ln x dx x ln x x

sin x dx cos x 2 1 1

sin x dx sin x cos x x2 2

cos x dx sin x 2 1 1

cos x dx sin x cos x x2 2

21

sin x cos x dx cos x2

1

dx ln sec x tan xcos x

2

tan x dx tan x x

cos x1 1dx ln

sin x sin x sin x

tan x dx ln cos x

2

cos x1dx

sin x sin x

2

sin x1dx

cos x cos x 2

cos ax x sin ax ax cos ax dx

a

x cos x dx cos x x sin x 2sin ax x cos ax a

xsin ax dxa

x sin x dx sin x x cos x x x x1 1

e sin x dx e cos x e sin x2 2

3/22

x a dx x a3

x x x1 1

e cos x dx e cos x e sin x2 2

1dx 2 x a

x a

1dx 2 a x

a x

2x adx ln x a x ax a

2 12 2 2

ln ax bx cx 2ax bdx tan

ax bx c 2a a 4ca b 4c

b

a b