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The value of int(1)^(4){x}^([x]) dx (whe...

The value of `int_(1)^(4){x}^([x]) dx` (where , [.] and {.} denotes the greatest integer and fractional part of x) is equal to

A

`(13)/(12)`

B

`(1)/(2)`

C

`(15)/(12)`

D

None of these

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A
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
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  2. The value of int(0)^(infty)[2e^(-x)] dx (where ,[.] denotes the greate...

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  3. The value of int(1)^(4){x}^([x]) dx (where , [.] and {.} denotes the g...

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  4. If f(x) is continuous for all real values of x , then sum(r=1)^nint0^...

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  5. The value of int(0)^(2pi)[2 sin x]dx, where [.] represent the greatest...

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  6. int(-pi/2)^(pi/2)(e^(|sinx|)cosx)/((1+e^(tanx))dx is equal to e+1 ...

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  7. The value of int(0)^(2)[x^(2)-1]dx, where [x] denotes the greatest in...

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  8. If overset(b)underset(a)int (x^(n))/(x^(4)+(16-x)^(n))dx=6, then

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  9. If af(x)+bf((1)/(x))=(1)/(x)-5,x ne 0,a ne b, then overset(2)underset(...

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  10. Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in...

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  11. The equation int(-pi//4)^(pi//4){a|sin x |+(b sin x )/(1+ cos^(2)+c} d...

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  12. int(1)^(3)|(2-x)log(e )x|dx is equal to:

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  13. overset(pi)underset(0)int (1)/(1+3^(cosx)) dx is equal to

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  14. Let I=int(-a)^(a) (p tan^(3) x + q cos^(2)x + r sin x)dx, where p, q, ...

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  15. The value of int(0)^(100)[tan^(-1)x]dx is, (where [.] denotes greatest...

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  16. The number of value of alpha in the interval [-pi,0] satisfying sin...

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  17. The value of the integral overset(e )underset(1//e)int |logx|dx, is

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  18. The value of int(-1)^(10) sgn (x-[x])dx is equal to (where, [.] denote...

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  19. If f(x)=ax^(3)+bx^(2)+cx have relative extrema x = 1 and at x = 5. If...

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  20. I1=int0^(pi/2)(sinx-cosx)/(1+sinxcosx)dx ,I2=int0^(2pi)cos^6xdx ,I3=in...

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