The value of $\alpha \in \left( { - \,\pi ,\;\,0} \right)$ satisfying $\sin \,\,\alpha + \mathop \smallint \limits_\alpha ^{2\alpha } \cos \,\,2\,\,x\,dx = 0$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\alpha \in \left( { - \,\pi ,\;\,0} \right)

satisfying

\sin \,\,\alpha + \int \limits_\alpha ^{2\alpha } \cos \,\,2\,\,x\,dx = 0

, is

View answer and explanation

Correct option: C

- \,\pi /3

Option C (

\ - \,\pi /3

) is correct because it satisfies the given equation after evaluating the integral and solving the trigonometric equation.

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