JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

Value of

\int_{\frac{\pi}{2}}^{\frac{3 \pi}{2}}[2 \sin x] d x

is [.]

\rightarrow

g.t.

View answer and explanation

Correct option: A

-\frac{\pi}{2}

Option A (

\frac{{-\pi}}{2}

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

2\sin(x)

from

\frac{{\pi}}{2}

\frac{{3\pi}}{2}

evaluates to

-\frac{{\pi}}{2}

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