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int{((logx-1)/(1+(logx)^2)}^2 dx is equa...

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

A

`(xe^(x))/(1+x^(2))+C`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-INDEFINITE INTEGRATION-QUESTION FROM PREVIOUS YEARS.AIEEE/JEE MAIN PAPERS
  1. If int (sin x)/(sin (x-alpha))dx =Ax+B log sin (x-alpha)+C, then the ...

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  2. int(dx)/(cos x-sinx) is equal to

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  3. int{((logx-1)/(1+(logx)^2)}^2 dx is equal to

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  4. int(dx)/(cosx+sqrt(3)sinx) equals: (1) 1/2logtan(x/2+pi/(12))+c (...

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  5. The value of sqrt2 int (sinxdx)/sin(x-pi/4)

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  6. If the integral int(5tanx)/(tanx-2)dx = x+a"ln"|sinx-2cosx|+k, then a ...

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  7. If int ((x^2-x+1)/(x^2+1) ) e^(cot^(-1)x dx)=A(x) e^(cot^(-1)x)+c, A=

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  8. The integral int x/(2-x^2+sqrt(2-x^2))dx equals

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  9. int(dx)/(x+x^7)=p(x), then int x^6/(x+x^7) dx is

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  10. If int f(x)dx=psi(x), then int x^5f(x^3)dx

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  11. The integral int(1+x-1/x)e^(x+1/x)dx is equal to

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  12. int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=

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  13. The integral intxcos^(-1)((1-x^(2))/(1+x^(2)))dx(xgt0) is equal to

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  14. int ((sin^2xcos^2x)/(sin^3x+cos^3x))dx=

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  15. If m is a non-zero number and int (x^(5m-1)+2x^(4m-1))/(x^(2m)+x^m+1)^...

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  16. The integral int(dx)/(x^(2)(x^(4)+1)^(3//4)) equal

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  17. The integral I = int (dx)/((x+1)^(3//4)(x-2)^(5//4)) is equal to

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  18. if I=int(log(t+sqrt(1+t^2)))/sqrt(1+t^2)dt=1/2(g(t))^2+c then g(2) is ...

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  19. The integral int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx is equal to ...

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  20. The integral int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx is equal to (where C ...

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