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Category: Integration

dx-3tan-x-cos-x-

Question Number 156517 by cortano last updated on 12/Oct/21 $$\int\:\frac{\mathrm{dx}}{\mathrm{3tan}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}}\:=? \\ $$ Answered by puissant last updated on 12/Oct/21 $${Q}=\int\frac{{dx}}{\mathrm{3}{tanx}+{cosx}} \\ $$$$=\int\frac{{cosx}}{{cos}^{\mathrm{2}} {x}+\mathrm{3}{sinx}}{dx}\:=\:\int\frac{{cosx}}{\mathrm{1}−{sin}^{\mathrm{2}} +\mathrm{3}{sinx}}{dx} \\…