Integral rules

∫0 dx =

C

∫k dx =

Kx

∫x^n dx =

x^n+1 /(n+1)

∫1/x dx =

ln|x|

∫e^x dx =

e^x

∫cosx dx =

sinx

∫sinx dx =

-cosx

∫sec²x dx =

tanx

∫csc²x dx =

-cotx

∫secxtanx dx =

secx

∫cscxcotx dx =

-cscx

∫tanx dx =

ln|secx|

∫cotx dx =

ln|sinx|

∫secx dx =

ln|secx + tanx|

∫cscx dx =

-ln|cscx + cotx|

∫1/√ a² - x² dx =

sin^-1 (x/a)

x=asinθ

∫1/ sqrt( x² + a² dx =

ln|x+ sqrt(x² + a²) | + C

x= atanθ

∫du/u√ u² - a² dx =

(1/a)sec^-1 (|u|/a)

x=asecθ

∫ Dx/sqrtx

2(sqrt x)

∫sinhx=

Coshx

∫1/x² + a² dx =

1/a tan^-1 (x/a)