JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_{ - 1/7}^{20/7} \,\,\sin \,\,\left( {x - \left[ x \right]} \right)\,\,dx

(where

\left[ {\, \cdot \,} \right]

denotes greatest integer) is

View answer and explanation

Correct option: C

3\,\,(1 - \,\,\cos \,\,1)

Option C (

3\,\,(1 - \,\,\cos \,\,1)

) is correct because the integral is evaluated using the property of greatest integer function and then integrating.

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