soliving of this question ʃ(x+sinx)/1+cosx dx

Let I = x + sin x1 + cos xdx=x1+cos xdx + sin x1+ cos xdx=x2 cos2x/2 dx + 2 sinx/2 cos x/22 cos2x/2dx=12x. sec2x/2 dx + tanx/2 dx=12x.sec2x/2dx - ddxx.sec2x/2 dx dx + tanx/2 dx

=12x. 2 tanx/2-2 tanx/2dx + tanx/2dx=x tan x/2 - tan x/2 dx + tanx/2dx=x tan x/2  + C

  • 95

nck=234.34

  • -8
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