Question Number 64147 by aliesam last updated on 14/Jul/19
Answered by ajfour last updated on 14/Jul/19
$$=\mathrm{sin}\:{y}−\mathrm{cos}\:{y}+{c} \\ $$
Answered by som(math1967) last updated on 14/Jul/19
$$\int\frac{{cos}^{\mathrm{2}} {y}−{sin}^{\mathrm{2}} {y}}{{cosy}−{siny}}{dy} \\ $$$$\int\frac{\left({cosy}+{siny}\right)\left({cosy}+{siny}\right)}{\left({cosy}−{siny}\right)}{dy} \\ $$$$\int\left({cosy}+{siny}\right){dy} \\ $$$${siny}−{cosy}+{C} \\ $$