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If [x] dentoes the greatest integer less...

If [x] dentoes the greatest integer less than or equal to x, then the value of `int _(0)^(5)[|x-3|] dx` is

A

1

B

2

C

4

D

`8`

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The correct Answer is:
B
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. If [x] denotes the greatest integer less than or equal to x then the v...

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  2. int- 2^2[x]dx

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

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

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

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

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

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

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  9. int(0) ^( pi//2) (root(n)(secx))/(root(n) (secx )+ root (n) ("cosec "x...

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  10. Evaluate the following : int(0)^(pi//2)(1)/(1+sqrt(tanx))dx

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  11. int(0)^((pi)/2)(dx)/(1+(tanx)^(sqrt(2018)))=

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  12. The value of int (0)^(pi//2) (2^(sinx))/(2^(sinx)+2^(cosx))dx is

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  13. int(0)^((pi)/2)(2008^(sinx))/(2008^(sinx)+2008^(cosx))dx=

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  14. int(0)^((pi)/2)(cos^(3)x)/(sinx+cosx)dx

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  15. int(0)^(pi//2) log (cotx ) dx=

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  16. If int(0)^((pi)/2)log(cosx)dx=-(pi)/2log2, then int(0)^((pi)/2)log(cos...

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  17. int(0)^(pi//2) sin 2x log (tan x) dx is equal to

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  18. int(0)^((alpha)/3)(f(x))/(f(x)+f((alpha-3x)/3))dx=

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  19. Let f be a non constant continuous function for all xge0. Let f satisf...

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  20. int(0)^(pi)(xdx)/(1+sinx) is equal to

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