eq you need to know

d/dx secx

secxtanx

d/dx cscx

-cscxcotx

d/dx cotx

-(cscx)^2

∫ tanx dx

ln|secx|+C/-ln|cosx|+C

∫ sec x

ln|secx+tanx|+C

d/dx arcsinx

1/sqrt{1-x^2}

d/dx arccosx

-1/sqrt{1-x^2}

d/dx arctanx

1/(1+x^2)

d/dx loga(x)

1/xlna