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Let f(x) = x-[x], for every real number ...

Let `f(x) = x-[x]`, for every real number x, where [x] is integral part of x. Then `int_(-1) ^1 f(x) dx` is

A

`1`

B

`2`

C

`0`

D

`1/2`

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The correct Answer is:
A
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
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  4. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

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  6. If for all real numbers y ,[y] is the greatest integer less than or eq...

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  8. The value of int(1)^(a)[x]f'(x)dx, where agt1, and [x] denotes the gre...

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  9. If [x] denotes the greatest integer less than or equal to x then the v...

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  10. int- 2^2[x]dx

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  11. If [x] dentoes the greatest integer less than or equal to x, then the ...

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  12. int(0)^(11)((11-x)^(2))/(x^(2)+(11-x)^(2))dx=

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  13. int0^(pi/2) sqrt(sinx)/(sqrt(sinx)+sqrt(cosx))dx

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  14. int(0)^((pi)/2)(sin^(1000)x dx)/(sin^(1000)x+cos^(1000)x) is equal to

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  15. int(0)^((pi)/2)(tan^(7)x)/(cot^(7)x+tan^(7)x)dx is equal to

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  16. The value of the integral int(0)^(pi//2)(sqrt(cotx))/(sqrt(cotx)+sqrt(...

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