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If I=int(-1)^(1)([x^(2)]+log((2+x)/(2-x)...

If `I=int_(-1)^(1)([x^(2)]+log((2+x)/(2-x)))dx` where [x] denotes the greatest integer `le x`, then I equals :

A

-2

B

-1

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. The value of the integral int(0)^(pi//4) (sin theta+cos theta)/(9+16 s...

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  2. Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^sin x^3dx=F(k)-F...

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  3. If I=int(-1)^(1)([x^(2)]+log((2+x)/(2-x)))dx where [x] denotes the gre...

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  4. The value of int(-pi//2)^(pi//2)(x^(2)+x cosx+tan^(5)x+1)dx is equal t...

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  5. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

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  6. The value of I=int(0)^(pi//2) (1)/(1+cosx)dx is

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  7. about to only mathematics

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  8. The value of integral underset(a)overset(b)int(|x|)/(x)dx, a lt b is :

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  9. The value of the integral int(0)^(2pi)(sin2 theta)/(a-b cos theta)d ...

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  10. The value of the integral I=int(0)^(1)x(1-x)^(n)dx is equal to

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  11. The value of the integral int(0)^(3alpha) cosec (x-alpha)cosec(x-2al...

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  12. The value of the integral int(0)^(pi)(sin 2k x)/(sin x)dx, where k in...

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  13. The value of the integral int0^1(dx)/(x^2+2xcosalpha+1) is equal to si...

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  14. The greater value of F(x)=int(1)^(x) |t|dt on the interval [-1//2,1//2...

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  15. The value of the integral int(0)^(pi//2) |sin x-cos x|dx, is

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  16. The value of the integral int(-pi//4)^(pi//4) sin^(-4)x dx, is

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  17. The value of the integral I=int(1)^(oo) (x^(2)-2)/(x^(3)sqrt(x^(2)-1))...

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  18. int(0)^(1) |sin 2pi x|dx id equal to

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  19. Evaluate: int(-pi)^pi(cosa x+s in b x)^2dx

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  20. The value of the definite integral int0^1(1+e^-x^2)dx (b) 2 1+e^...

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