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If int(-(1)/(2))^((1)/(2)) cos x log((1...

If `int_(-(1)/(2))^((1)/(2)) cos x log((1+x)/(1-x))dx=k log2`, then the value of k is -

A

`(1)/(2)`

B

0

C

1

D

-1

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If f(x)=|x-1|, then the value of int(0)^(2)f(x) dx is -

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  2. If I(m)=int(1)^(x)(logx)^(m)dx satisfies the relation I(m)=x(logx)^...

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  3. If int(-(1)/(2))^((1)/(2)) cos x log((1+x)/(1-x))dx=k log2, then the ...

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  4. The value of int cos[2cot^(-1) sqrt((1-x)/(1+x))]dx is equal to -

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  5. If int(sinx)^(1) t^(2) f(t) dt =1-sinx, then the value of f((1)/(sqr...

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  6. If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c, then the value of k is...

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  7. The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

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  8. If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then ...

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  9. The value of int sqrt(e^(x)-1)dx is equal to -

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  10. If I(1)=int sin^(-1)x dx and I(2)=int sin^(-1) sqrt(1-x^(2)) dx th...

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  11. The value of int cos^(-(3)/(7)) x sin^(-(11)/(7)) x dx is equal to -

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  12. The value of int(0)^((pi)/(2)) (2^(sinx)dx)/(2^(sinx)+2^(cosx)) is eq...

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  13. The value of int((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal t...

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  14. The value of int(0)^(pi/2) (sin^(4)x dx)/(sin^(4)x+cos^(4)x) is equa...

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  15. State which of the following is correct : If f(x) is a continuous f...

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  16. The integrating factor of the linear differential equation (1-x^(2))^...

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  17. Let f(x)= (1-tanx)/(4x-pi) when 0 le x le (pi)/(2) and x ne (pi)/(4)...

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  18. The solution of the differential equation (x+y)(dx-dy)=dx+dy is -

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  19. The solution of the equation dy=cos x(2-y "cosec"x)dx, where y=(3)/(s...

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  20. The order of differential equations of all parabolas having directrix ...

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