jee-main 2024 Q75

jee-main · India · session1_01feb_shift2 Indefinite & Definite Integrals Definite Integral Evaluation (Computational)
If $\int_0^{\frac{\pi}{3}} \cos^4 x \, dx = a\pi + b\sqrt{3}$, where $a$ and $b$ are rational numbers, then $9a + 8b$ is equal to:
(1) 2
(2) 1
(3) 3
(4) $\frac{3}{2}$
If $\int_0^{\frac{\pi}{3}} \cos^4 x \, dx = a\pi + b\sqrt{3}$, where $a$ and $b$ are rational numbers, then $9a + 8b$ is equal to:\\
(1) 2\\
(2) 1\\
(3) 3\\
(4) $\frac{3}{2}$