Integrate : 4/4-3cos2x

Let I = 44 - 3 cos2x dx=4sec2x4 sec2x - 3 dx=4sec2x4 + 4 tan2x - 3 dx=4sec2x4 tan2x + 1 dx=44sec2xtan2x + 14 dx=sec2xtan2x + 14 dx   put tan x = tsec2x dx = dtSo, I = dtt2 + 122= 11/2 tan-1t1/2 + C=2 tan-12t + C=2 tan-12 tanx + C

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