Wzory podstawowe:

C

a

a

dx

a

C

x

C

x

dx

x

C

dx

x

x

+

=

−

≠

+

+

−

=

+

=

=

+

ln

1

,

1

1

,

ln

0

1

α

α

α

α

α

+

=

+

−

=

+

=

C

x

xdx

C

x

xdx

C

e

dx

e

x

x

sin

cos

cos

sin

C

arctgx

x

dx

C

ctgx

x

dx

C

tgx

x

dx

+

=

+

+

−

=

+

=

2

2

2

1

sin

cos

C

x

x

dx

C

x

x

dx

C

arcctgx

x

dx

+

=

−

−

+

=

−

+

=

+

−

arccos

1

arcsin

1

1

2

2

2

C

x

k

x

k

x

dx

+

+

±

=

±

2

2

ln

C

ctghx

dx

x

C

tghx

dx

x

C

x

xdx

C

x

xdx

+

−

=

+

=

+

=

+

=

2

2

sinh

1

cosh

1

sinh

cosh

cosh

sinh

opracował Paweł Sztur