Wzory podstawowe:
+"0dx = C
Å„Å‚ln x + C,Ä… = -1
ôÅ‚
xÄ…dx =
òÅ‚
+" xÄ… +1
+ C,Ä… `" -1
ôÅ‚
ółą +1
ax
x
+"a dx = ln a + C
x
+"e dx = ex + C
+"sin xdx = - cos x + C
+"cos xdx = sin x + C
dx
= tgx + C
+"
cos2 x
dx
= -ctgx + C
+" 2
sin x
dx
+"1+ x2 = arctgx + C
- dx
+"1+ x2 = arcctgx + C
dx
= arcsin x + C
+"
1- x2
- dx
= arccos x + C
+"
1- x2
dx
= ln x2 Ä… k + x + C
+"
x2 Ä… k
+"sinh xdx = cosh x + C
+"cosh xdx = sinh x + C
1
dx = tghx + C
+"
cosh2 x
1
dx = -ctghx + C
+"
sinh2 x
opracował Paweł Sztur