∫secxtanx dx=\displaystyle\int \sec x \tan x\,dx =∫secxtanxdx=Aln∣secx∣+C\ln|\sec x| + Cln∣secx∣+CBtanx+C\tan x + Ctanx+CCsecx+C\sec x + Csecx+Ccheck_circleDsec2x+C\sec^2 x + Csec2x+CExplanation(secx)′=secxtanx(\sec x)' = \sec x \tan x(secx)′=secxtanx.