If \( \int_0^{\frac{\pi}{3}} \cos ^4 x d x= a \pi+ b \sqrt{3} \) where \(a\) and \(b\) are rational numbers, then \(9 a …

If \( \int_0^{\frac{\pi}{3}} \cos ^4 x d x= a \pi+ b \sqrt{3} \) where \(a\) and \(b\) are rational numbers, then \(9 a +8 b\) is equal to : EndFragment

[JEE Main 2024, 01 Feb (Shift 2)]