Integration of trig functions: int sin^2 x cos^4 x dx
[tex]\int sin^{2}(x)cos^{4}(x)dx[/tex] [tex]=\frac{1}{8}\int (1-cos(2x))(1+cos(2x))^{2}dx[/tex] [tex]=\frac{1}{8}\int (1-cos^{2}(2x))(1+cos(2x))dx[/tex] [tex]=\frac{1}{8}\int sin^{2}(2x)dx+\frac{1}{8}\int sin^{2}(2x)cos...