derivative + integral rules

d/dx sinu

cos(u) * u'

d/dx cosu

-(sinu) * u'

d/dx tanu

sec^2(u) * u'

d/dx cotu

-(csc^2u) * u'

d/dx secu

(secutanu) * u'

d/dx cscu

-(cscucotu) * u'

d/dx lnu

u'/u

d/dx e^u

e^u * u'

d/dx a^u

a^u * lna * u'

d/dx arcsinu

u'/√(1 - u^2)

d/dx arccosu

-u'/√(1 - u^2)

d/dx arctanu

u'/(1 + u^2)

d/dx arccotu

-u'/(1 + u^2)

d/dx arcsecu

u'/(|u| √(u^2 - 1))

d/dx arccscx

-u'/(|u| √(u^2 - 1))

∫sinu du

-cosu + C

∫cosu du

sinu + C

∫tanu du

-ln |cosu| + C

∫cotu du

ln |sinu| + C

∫secu du

ln |secu + tanu| + C

∫cscu du

-ln |cscu + cotu| + C

∫1/u du

ln |u| + C

∫e^u du

e^u + C

∫a^u du

(1/lna) * a^u + C

∫du/√(a²-u²)

arcsin u/a + C

∫du/u√(u²-a²)

1/a arcsec |u|/a + C

∫du/(a² + u²)

1/a arctan u/a + C

d/dx loga(u)

1/lna * u'/u