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The value of int(-1)^(10) sgn (x-[x])dx ...

The value of `int_(-1)^(10) sgn (x-[x])dx` is equal to (where, [.] denotes the greatest integer function)

A

10

B

11

C

9

D

`11//2`

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`sng (x-[x])={{:(1,"if x is not an integer"),(0,"if x is an iteger"):}`
`:. underset(-1)overset(10)intsgn(x-[x])dx=11(1-0)=11" " ["From graph"]`
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Section I - Solved Mcqs
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  3. The value of int(-1)^(10) sgn (x-[x])dx is equal to (where, [.] denote...

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