Вычислите интеграл \(\large{\int\limits_0^{\frac{{\pi}}{4}}\cos^2{x}dx.}\)

• \(\large\frac{{\pi}+2}{8}\)
• \(\large\frac{{\pi}}{8}\)
• \(\large\frac{{\pi}-1}{4}\)
• \(0,125\)