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Question

If [ ] denotes the greatest integer function then the integral π0[cosx]dx is equal to :

A
π2
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B
0
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C
1
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D
π2
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Solution

The correct option is D π2
We know that for cosx[0,π2]1cosx0 and cosx[π2,π]0cosx1

π0[cosx]dx=π200dx+ππ21dx

=π2

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