JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

If for a real number

y_1[y]

is the greatest integer less than or equal to

y

, then the value of the integral

\int\limits_{{\pi / 2}}^{3 \pi / 2}[2 \sin x] d x

, is

View answer and explanation

Correct option: C

-\pi / 2

Option C (

-\pi / 2

) is correct because the integral of the greatest integer function of

2\sin x

from

\pi/2

3\pi/2

evaluates to

-\pi/2

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