NB : on omet la constante d'intégration c.

sin ax dx = - cos (ax) / a

x· sin ax dx = sin (ax) / a2 - x· cos (ax) / a

1 / sin ax dx = (1/a)· ln |tan (ax/2)|

1 / (1 ± sin ax) dx = (1/a)· tan (ax/2 /4)

x / (1 + sin ax) dx = (x/a)· tan (ax/2 - /4) + 2/a2· ln |cos (ax/2 - /4)|

x / (1 - sin ax) dx = (x/a)· cotan (/4 - ax/2) + 2/a2· ln |sin (/4 - ax/2)|

sin ax / (1 ± sin ax) dx = ±x + (1/a)· tan (/4 ax/2)

cos ax dx = sin (ax) / a

x· cos ax dx = cos (ax) / a2 + x· sin (ax) / a

1 / cos ax dx = (1/a)· ln |tan (ax/2 + /4)|

1 / (1 + cos ax) dx = (1/a)· tan (ax/2)

1 / (1 - cos ax) dx = -(1/a)· cotan (ax/2)

x / (1 + cos ax) dx = (x/a)· tan (ax/2) + 2/a2· ln |cos (ax/2)|

x / (1 - cos ax) dx = -(x/a)· cotan (ax/2) + 2/a2· ln |sin (ax/2)|

cos ax / (1 + cos ax) dx = x - (1/a)· tan (ax/2)

cos ax / (1 - cos ax) dx = -x - (1/a)· cotan (ax/2)

cos ax / (sin ax ± cos ax) dx = ±x/2 + (1/2a)· ln |sin ax ± cos ax|

sin ax / (sin ax ± cos ax) dx = x/2 (1/2a)· ln |sin ax ± cos ax|

tan ax dx = -(1/a)· ln |cos ax| = (1/a)· ln |sec ax|

(n -1)

cotan ax dx = (1/a)· ln |sin ax|

(n -1)