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If f(0) = 1 , f(2) = 3, f'(2) = 5 and f...

If `f(0) = 1 , f(2) = 3, f'(2) = 5` and `f'(0)` is finite, then `underset(0)overset(1)intx. f" (2x) dx` is equal to

A

zero

B

1

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. int(0)^(2pi)[|sin x|+|cos x|]dx, where [.] denotes the greatest intege...

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  2. If f(pi)=2 and int(0)^(pi)(f(x)+f''(x))sin x dx=5, then f(0) is equal ...

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  3. If f(0) = 1 , f(2) = 3, f'(2) = 5 and f'(0) is finite, then underset(...

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  4. Evaluate: int0^(4pi)(dx)/(cos^2x(2+tan^2x)

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  5. The value of int(0)^(infty)[2e^(-x)] dx (where ,[.] denotes the greate...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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