∫(1+cosx)/(x+sinx)dx=?

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∫(1+cosx)/(x+sinx)dx=?∫(1+cosx)/(x+sinx)dx=?∫(1+cosx)/(x+sinx)dx=?∫(1+cosx)/(x+sinx)dx=∫1/(x+sinx)d(

∫(1+cosx)/(x+sinx)dx=?
∫(1+cosx)/(x+sinx)dx=?

∫(1+cosx)/(x+sinx)dx=?
∫(1+cosx)/(x+sinx)dx
=∫1/(x+sinx)d(x+sinx)
=ln|x+sinx|+c

原式=∫d(x+sinx)/(x+sinx)
=ln|(x+sinx)|+C

∫(1+cosx)/(x+sinx)dx=∫1/(x+sinx)d(x+sinx)=ln|x+sinx|+c;