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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

`sqrt(2)-2`

B

`2-sqrt(2)`

C

`2+sqrt(2)`

D

None of these

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The correct Answer is:
B
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TARGET PUBLICATION-DEFINITE INTEGRALS-EVALUATIO TEST
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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. If f(x) is a function satisfying f(1/x)+x^(2)f(x)=0 for all non zero x...

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  6. lim(n->oo)sum(n=1)^n(sqrt(n))/(sqrt(r)(3sqrt(r)+4sqrt(n))^2)

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  7. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

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  10. overset(2pi) underset(0)int(xsin^(2n)x)/(sin^(2n)x+cos^(2n)x)dx,n gt 0...

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  12. int(0)^(sqrt("log"(pi)/2))cos(e^(x^(2)))2xe^(x^(2))dx=

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  13. If f(x)=int(0)^(x)sin^(6)tdt, then f(x+pi)=

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  14. If f(x) is a polynomial of degree 2, such that f(0)=3,f'(0)=-7,f''(0)=...

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  15. If f(x)=Asin((pix)/2)+B, f'(1/2)=sqrt2 and int0^1 f(x)dx=(2A)/pi then ...

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  16. If f(x)=|(sin x+sin x 2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,...

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  17. If a is a positive integer, then the number of values of a satisfying ...

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

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  19. Let f(x) = |{:(secx,cosx,sec^(2)x+cotx cosecx),(cos^(2)x,cos^(2)x,cose...

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  20. If (1)/(sqrt(a))underset(1)overset(a)int((3)/(2)sqrt(x)+1-(1)/(sqrt(x)...

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