Question Number 188545 by 073 last updated on 03/Mar/23
Answered by ARUNG_Brandon_MBU last updated on 03/Mar/23
$$\int\left(\frac{\mathrm{1}}{\mathrm{sin}\frac{{x}}{\:\sqrt{\mathrm{2}}}}−\mathrm{2}+\mathrm{sin}\frac{{x}}{\:\sqrt{\mathrm{2}}}\right){dx} \\ $$$$=\sqrt{\mathrm{2}}\mathrm{ln}\mid\mathrm{cosec}\frac{{x}}{\:\sqrt{\mathrm{2}}}−\mathrm{cot}\frac{{x}}{\:\sqrt{\mathrm{2}}}\mid−\mathrm{2}{x}−\sqrt{\mathrm{2}}\mathrm{cos}\frac{{x}}{\:\sqrt{\mathrm{2}}}+{C} \\ $$