Question Number 20468 by tammi last updated on 27/Aug/17
$$\int\frac{{dx}}{\mathrm{sin}\:^{\mathrm{4}} {x}−\mathrm{cos}\:^{\mathrm{4}} {x}} \\ $$
Answered by ajfour last updated on 27/Aug/17
$$−\int\mathrm{sec}\:\mathrm{2}{xdx}=−\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}\:\mid\mathrm{sec}\:\mathrm{2}{x}+\mathrm{tan}\:\mathrm{2}{x}\mid+{C}\:. \\ $$