$\mathop \smallint \limits_0^{\pi /4} \sin \,\,\left( {x\,\, - \,\,\left[ x \right]} \right)\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \limits_0^{\pi /4} \sin \,\,\left( {x\,\, - \,\,\left[ x \right]} \right)\,\,dx

is equal to

View answer and explanation

Correct option: B

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

Option B (1 - 1/√2) is correct because the integral simplifies to the integral of sin(x) from 0 to π/4, which evaluates to 1 - 1/√2.

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