JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

Let

\theta_1

and

\theta_2

(where

\left.\theta_1<\theta_2\right)

be two solutions of

2 \cot ^2 \theta-\frac{5}{\sin \theta}+4=0, \quad \theta \in(0,2 \pi)

. Then the value of

\int_{\theta_1}^{\theta_2} \cos ^2 3 \theta\,\, d \theta

, is

View answer and explanation

Correct option: A

\frac{\pi}{3}

Option A (

\frac{\pi}{3}

) is correct because after solving the trigonometric equation and finding the limits, the definite integral evaluates to

\frac{\pi}{3}

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