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Let f(x) denote the fractional part of a...

Let f(x) denote the fractional part of a real number x. Then the value of `int_0^sqrt3 f(x^2) dx` is

A

`2sqrt3 - sqrt2 - 1`

B

0

C

`sqrt2 - sqrt3 + 1`

D

`sqrt3 - sqrt2 +1`

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The correct Answer is:
C
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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  4. Let f : (0,infty) rarr R be given by f(x) = int(1/x)^(x) e^-(t + 1/t...

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  8. Let f : [0,2] rarr R be a function which is continuous on [0 , 2] and ...

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  13. If I = int0^2 (e^x)^4 (x - alpha) dx = 0, then alpha lies in the inter...

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  14. Suppose M = int0^(pi/2) cosx/(x+2) dx , N = int0^(pi/4) sinxcosx/(x+1)...

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  15. Let f(x) = max{x + absx, x - [x]}, where [x] de notes the greatest int...

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  16. Let f(x) = {(int0^x abs(1 - t) dt , x gt 1),(x - 1/2 , x le 1):} Then

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