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The integral int0^(1. 5)[x^2]dx ,w h e r...

The integral `int_0^(1. 5)[x^2]dx ,w h e r e[dot]` denotoes the greatest integer function, equals ...........

A

`2+sqrt(2)`

B

`2-sqrt(2)`

C

`-2+sqrt(2)`

D

`-2-sqrt(2)`

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Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. int(0) ^(3) [x] dx= where [x] is greatest integer function

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  2. Let f(x) = x-[x], for every real number x, where [x] is integral part ...

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  3. The integral int0^(1. 5)[x^2]dx ,w h e r e[dot] denotoes the greatest ...

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  4. The value of int0^9[sqrt(x)+2]dx, where [.] is the greatest integer fu...

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

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  6. int(0)^((pi)/2)(x-[cosx])dx= (where [t]= greatest integer less or eq...

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

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

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  9. int- 2^2[x]dx

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

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

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

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

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

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

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

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

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

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

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

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