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int \ dx/(x(x^2+1))...

`int \ dx/(x(x^2+1))`

A

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

B

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

C

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

D

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

Text Solution

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NDA PREVIOUS YEARS-QUESTION PAPER 2021(I)-MULTIPLE CHOICE QUESTION
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  2. What is the maximum area of a rectangle that can be inscribed in a cir...

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  3. int \ dx/(x(x^2+1))

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  4. What is the derivative of e^(e^(x)) with respect to e^(x) ?

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  5. What is the condition that f(x) = x^(3) +x^(2) +kx has no local extrem...

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  6. If f (x) = 2^(x), then what is int(2)^(10) (f '(x))/(f(x))dx equal to ...

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  7. If int(-2)^(0) f (x) dx =k, then int(-2)^(0) |f(x)|dx is

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  8. If the function f(x) = x^(2) -kx is monotonically increasing the inter...

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  9. What is the area bounded by y = [x], where [.] is the greatest integer...

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  10. The tangent to the curve x^(2) = y at (1,1) makes an angle theta with ...

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  11. Consider the following relations for two events E and F: 1. P (E cap...

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  12. If P(A|B) lt P(A), then which one of the following is correct ?

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  13. A problem is given to three students A, B and C, whose probabilities o...

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  14. In a cricket match, a batsman hits a six 8 times out of 60 balls he pl...

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  15. Two regression lines are given as 3x-4y+8=0 and 4x-3y-1 = 0 Consider...

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  16. Two regression lines are given as 3x-4y+8=0 and 4x-3y-1 = 0 Consider...

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  17. The marks obtained by 60 students in a certain subject out of 75 are g...

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  18. The marks obtained by 60 students in a certain subject out of 75 are g...

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  19. What is the mean of natural numbers contained in the interval (15, 64)...

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