JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

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

, [.] greatest integer function, equals

View answer and explanation

Correct option: A

\frac{\pi}{4}

Option A (

\frac{{\pi}}{{4}}

) is correct because the integral simplifies to

\int_0^{\frac{{\pi}}{{4}}} d\{x\}

, which evaluates to

\frac{{\pi}}{{4}}

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