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Evaluate int(logx)/((1+logx)^(2))dx....

Evaluate `int(logx)/((1+logx)^(2))dx`.

A

`(1)/((1+logx)^(3))+c`

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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PUNEET DOGRA-INTEGRATION-Prev year questions
  1. Evaluate int(logx)/((1+logx)^(2))dx.

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  2. What is int(dx)/(2x^(2)-2x+1) equal to ?

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  3. What is int(dx)/(x(1+lnx)^(n)) equal to ? (n ne 1)

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  4. What is int ln(x)^(2) dx equal to?

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  5. What is inte^(xln(a))dx equal to ?

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  6. What is int(dx)/(a^(2)sin^(2)x+b^(2)cos^(2)x) equal to ?

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  7. What is inte^(ln(tanx)) dx equal to ? Where e is the constant of integ...

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  8. What is intsin^(3)xcosxdx equal to ?

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  9. What is int(dx)/(2^(x)-1) equal to ?

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  10. Consider the following statements : 1. (dy)/(dx) at a point on the c...

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  11. What is inttan^(-1)(secx+tanx) dx equal to ?

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  12. int(lnx)^(-1)dx-int(lnx)^(-2) dx is equal to

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  13. l(1)=(d)/(dx)(e^(tanx)) l(2)=lim(h to 0)(e^(sin(x+h)-e^(sinx)))/(h) ...

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  14. What is int((x^(e-1)+e^(x-1)))/(x^(e )+e^(x)) equal to ?

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  15. Let f(x) be an indefinite integral of sin^(2)x. Consider the following...

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  16. What is int(dx)/(x(x^(2)+1)) equal to ?

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  17. What is int(x^(4)-1)/(x^(2)sqrt(x^(4)+x^(2)+1))dx equal to ?

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  18. What is inte^(sinx)(xcos^(3)x-sinx)/(cos^(2)x)dx equal to ?

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  19. Let f(x)and g(x) be twice differentiable functions on [0,2] satisfying...

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  20. int(dx)/(1+e^(-x)) is equal to : Where c is the constant of integrat...

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  21. Consider f'(x)=(x^(2))/(2)-kx+1 such that f(0)=0 and f(3)=15. The va...

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