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if [x] denotes the greatest integer less than or equal to x then integral `int_0^2x^2[x] dx` equals

A

44319

B

44380

C

44411

D

44289

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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  3. if [x] denotes the greatest integer less than or equal to x then integ...

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  7. Let f: R rarr R be a continuous odd function, which vanishes exactly a...

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  13. Let xn = (1 - 1/3)^2 (1-1/6)^2 (1-1/10)^2 ...... (1 - 1/((n(n + 1))/2)...

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  14. underset(nrarrinfty)lim (sqrt1+sqrt2+.......+sqrt(n-1))/(nsqrtn) = ?

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  15. Let f : Rrarr R be a continuous function which satisfies f(x) = int0^x...

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  17. Let f(x) denote the fractional part of a real number x. Then the value...

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  18. Let f : (0,infty) rarr R be given by f(x) = int(1/x)^(x) e^-(t + 1/t...

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  19. Let f : [a , b]rarr [1, infty] be a continuous function and let g : R ...

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  20. The value of int0^1 4x^3 {d^2/(dx^2) (1 - x^2)^5 } dx is

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