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Question: Answered & Verified by Expert
05cosπx-x2dx, where t denotes greatest integer less than or equal to t, is equal to
MathematicsDefinite IntegrationJEE MainJEE Main 2022 (29 Jun Shift 1)
Options:
  • A 0
  • B 2
  • C -3
  • D 4
Solution:
2779 Upvotes Verified Answer
The correct answer is: 0

I=05cosx2π-πxdx

x0,5 x0,52x20,1,2

I=02cos-πxdx+24cosπ-πxdx+45cos2π-πxdx

I=sinπxπ02+-sinπxπ24+sinπxπ45=0

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