Integration of 1/(1+cos^2 x) ?!.. Share with your friends Share 0 Amit Shukla answered this Dear Student, Let I = ∫11 + cos2x dx = ∫1cos2x1cos2x + 1 dx = ∫sec2xsec2x + 1 dx =∫sec2x1 + tan2x + 1 dxI = ∫sec2xtan2x + 2 dxput tan x = t⇒sec2x dx = dtso, I = ∫1t2 + 22 dt = 12 tan-1t2+c= 12 tan-1tanx2+c Regards. 2 View Full Answer