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The value of int2^(3) (x+1)/(x^(2)(x-1))...

The value of `int_2^(3) (x+1)/(x^(2)(x-1)) dx =`

A

(log) 16/9+1/6

B

(log) 16/9-1/6

C

2log2-1/6

D

(log) 4/3 -1/6

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. The value of int0^(1) (dx)/(x+sqrt(1-x^(2))) dx

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  2. inta^(b) (sqrtx dx)/(sqrtx + sqrt(a+b-x)) =

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  3. The value of int2^(3) (x+1)/(x^(2)(x-1)) dx =

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  4. If g(x) = (f(x)-f(-x))/2 defined over [-3,3] and f(x) = 2x^(2)-4x+1, t...

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  5. int0^(pi/4) (cos x- sin x) dx + int(pi/4)^((5pi)/4) (sinx-cosx) dx + i...

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  6. The value of the integral int0^(oo) log(x+1/x) (dx)/(x^2 +1) is

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  7. If f: R rarr R and g:R rarr R are one-to-one, real valued functions, t...

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  8. If int(log2)^(x) (du)/((e^(u)-1)^(1/2)) = pi/6, then e^(x) =

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  9. The value of int0^(sin^(2)theta) sin^(-1) sqrtphi dphi + int0^(cos^(2)...

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  10. int0^(10pi) |sin x| dx is

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  11. int(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2 x) dx is :

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  12. int0^(sqrt2) [x^(2)] dx = , wher [x] is the greatest integer function

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  13. If P = int0^(3pi) f(cos^(2)x) dx and Q = int0^(pi) f(cos^(2)x) dx then

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  14. If int0^(1) (x^(7))/(sqrt(1-x^(4))) dx =

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  15. Let I(1) = inta^(pi-a) xf (sin x) dx, I(2) = inta^(pi-a) f(sinx) dx th...

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  16. The value of the integral int(1/n)^(((an-1))/(n)) sqrtx/(sqrt(a-x) + s...

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  17. For any integer n, the integral : int0^(pi) e^(cos^2) cos^(3) (2n + 1)...

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  18. If f(x) =

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  19. int(pi/6)^(pi/3) (dx)/(1+sqrtcotx) =

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  20. int(-pi)^(pi) (1 - x^2)sin x cdot cos^2 x cdot dx is :

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