Integrate : 4/4-3cos2x Share with your friends Share 0 Varun.Rawat answered this Let I = ∫44 - 3 cos2x dx=4∫sec2x4 sec2x - 3 dx=4∫sec2x4 + 4 tan2x - 3 dx=4∫sec2x4 tan2x + 1 dx=44∫sec2xtan2x + 14 dx=∫sec2xtan2x + 14 dx put tan x = t⇒sec2x dx = dtSo, I = ∫dtt2 + 122= 11/2 tan-1t1/2 + C=2 tan-12t + C=2 tan-12 tanx + C 1 View Full Answer