[tex] \int\limits^\pi_0 [6 \sin{x} + \sin(6x) }] \, dx
\\ \int\limits^\pi_0 {6 \sin{x}}\ dx + \int\limits^\pi_0 \sin(6x) } \ dx
\\ 6\int\limits^\pi_0 { \sin{x}}\ dx + \frac{1}{6} \int\limits^{6\pi}_0 \sin{t} } \ dt
\\ -6\cos{x}|_0^\pi- \frac{1}{6}\cos{t}|_0^{6\pi}
\\-6(\cos\pi-\cos0)-\frac{1}{6}(\cos{6\pi}-\cos0)
\\ -6(-1-1)-\frac{1}{6}(1-1)
\\-6(-2)-\frac{1}{6}\times0 \\12[/tex]
