JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int\limits_{0}^{\pi / 4} \sin x d(x-[x])

is equal to (where

[*]

denotes the greatest integer function)

View answer and explanation

Correct option: B

1-\frac{1}{\sqrt{2}}

Option B (

1-\frac{{1}}{{\sqrt{{2}}}}

) is correct because the integral simplifies to

\int_0^{\pi/4} \sin x dx

due to the greatest integer function being zero in the interval.

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