Calculus 2 Integrals/Derivatives

d/dx [cot x]

-csc²x

d/dx [tan x]

sec²x

d/dx [csc x]

-cscxcotx

d/dx [sin^-1x]

1/√1 - x²

d/dx [cos^-1x]

-1/√1 - x²

d/dx [tan^-1x]

1/1 + x²

d/dx [cot^-1x]

-1/1 + x²

d/dx [sec^-1x]

1/x√x²-1

d/dx [csc^-1]

-1/x√x²-1

∫tanxdx

ln |secx| + C

∫secxdx

ln |secx + tanx| + C

∫cotxdx

ln |sinx| + C

∫cscxdx

-ln |cscx + cotx| + C

∫sec³xdx

1/2(secxtanx + ln|secx + tanx|) + C

∫csc³xdx

-1/2(cscxcotx+ ln|cscx+ cotx|) + C

∫dx/a²+x²

1/a arctan (x/a) + C