Indefinite integral of (sec(x))^1/2(tan^3(x)).... I know that tan^3(x) becomes tan^2(x) and tanx.... so it will be the Indefinite integral of (sec(x))^-1/2 (tan^2(x)) secx tanx dx ... I dont understand why my book says that there will be a secx in there, why isn't it just (sec(x))^1/2 (tan^2(x)) tanx dx?