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The value of int0^9[sqrt(x)+2]dx, where ...

The value of `int_0^9[sqrt(x)+2]`dx, where `[.]` is the greatest integer function.

A

`31`

B

`22`

C

`23`

D

None of these

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The correct Answer is:
A
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
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  4. If for all real numbers y ,[y] is the greatest integer less than or eq...

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

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

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  8. int- 2^2[x]dx

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

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

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

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

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

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

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

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

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

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

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

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

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