Integrali Indefiniti 1 di 1

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( ) ( )f x dx F x c= +∫ [ ] ['( ) ( ) ( )]f g x g x dx F g x c⋅ = +∫

11 11

n nx dx x c nn

+= ++∫ ≠ [ ] [ ] 1' 1( ) ( ) ( )

1n nf x f x dx f x

n+ c= +

+∫

1 l nd x x cx

= +∫ ' ( ) ln ( )( )

f x d x f x cf x

= +∫

x xe dx e c= +∫ ( ) ' ( )( )f x f xe f x dx e= +∫ c

1l n

x xa d x a ca

= +∫ ( ) ' ( )1( )ln

f x f xa f x dx aa

= +∫ c

cossenxdx x c= − +∫ '( ) ( ) cos ( )senf x f x dx f x c=− +∫

cos xdx senx c= +∫ 'cos ( ) ( ) ( )f x f x dx senf x c= +∫

21

c o sd x t g x c

x= +∫

'

2( ) ( )

c o s ( )f x d x t g f x c

f x= +∫

21 d x c o t g x c

s e n x= − +∫

'

2( ) ( )

( )f x d x c o t g f x c

s e n f x= − +∫

2

1

1d x a r c s e n x c

x= +

−∫

[ ]

'

2

( ) ( )1 ( )

f x d x a r c s e n f x cf x

= +−

∫

2 2

1 xd x a r c s e n caa x

= +−

∫ [ ]22

1 (

( )

f xd x a r c s e n caa f x

= +−

∫)

21

1d x a r c t g x c

x= +

+∫ [ ]

'

2( ) ( )

1 ( )f x d x a r c tg f x c

f x= +

+∫

ln costgxdx x c= − +∫ '( ) ( ) ln cos ( )tgf x f x dx f x c=− +∫

lnc o t g x d x s e n x c= +∫ 'cot ( ) ( ) ln ( )gf x f x dx senf x c= +∫

1 1 1lnc o s 2 1

s e n xd x cx s e n

+= +

−∫ x '1 1 1 (( ) ln

cos ( ) 2 1 ( )senf x)f x dx c

f x senf x+

= +−∫

1 l n2xd x t g c

s e n x= +∫ '1 (( ) ln

( ) 2f x )f x dx tg c

senf x= +∫