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The value of int{(logx-1)/(1+(logx)^(2)...

The value of `int{(logx-1)/(1+(logx)^(2))}^(2)dx` is equal to -

A

`(x e^(x))/(1+x^(2))+c`

B

`(x)/(1+(logx)^(2))+c`

C

`(logx)/(1+(logx)^(2))+c`

D

`(x)/(x^(2)+1)+c`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
  1. The value of int(dx)/(cosx-sinx) is equal to -

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  2. The value of int(0)^((pi)/(2)) ((sinx+cosx)^(2))/(sqrt(1+sin2x))dx is ...

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  3. If int(0)^(pi) x f(sinx) dx=A int(0)^((pi)/(2))f(sinx)dx, then the va...

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  4. The value of int ((x-x^(3))^((1)/(3)))/(x^(4)) dx is equal to -

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  5. The value of int e^(x log a)*e^(x)dx is equal to -

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  6. The value of int(-(pi)/(4))^((pi)/(4)) x^(3) sin^(4) x dx is equal to...

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  7. If f(x)=cosx-cos^(2)x+cos^(3)x-…oo, then the value of int f(x) dx is...

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  8. The value of int(0)^(1)(xdx)/((x+sqrt(1-x^(2)))sqrt(1-x^(2))) is equal...

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  9. The value of int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal to -

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  10. The value of int{(logx-1)/(1+(logx)^(2))}^(2)dx is equal to -

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  11. The value of int(pi)^(2pi)[ 2 cos x]dx is equal to -

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  12. The order and degree of the differential equation [1+((dy)/(dx))^(2)]...

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  13. The differential equation of the system of circles touching the y-axi...

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  14. The integrating factor of the differential equation cosx(dy)/(dx)+y si...

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  15. The general solution of y^(2)dx+(x^(2)-xy+y^(2))dy=0 is -

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  16. The general solution of the linear differential equation "cos"^(2)x (...

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  17. The value of lim(x to oo) sqrt(x)(sqrt(x+2)-sqrt(x)) is -

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  18. The differential equation obtained by eliminating constants A and B fr...

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  19. Solution of the differential equation tany (dy)/(dx)=sin(x+y)+sin(x-y)...

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  20. If f(x)={((sin5x)/(x^(2)+2x),"when "x ne 0),(k+(1)/(2),"when "x =0):} ...

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