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The value of the integral I= underset(1/...

The value of the integral `I= underset(1/2014)overset(2014)int (tan^(-1)x)/(x)dx` is

A

`(pi)/(4) log 2014`

B

`(pi)/(2) log 2014`

C

`pi log 2014`

D

`(1)/(2) log 2014`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. If int f(x) sin x cos x dx= (1)/(2(b^(2)-a^(2))) log f(x) + c, where c...

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  2. If M= underset(0)overset(pi//2)int (cos x)/(x +2) dx, N= underset(0)ov...

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  3. The value of the integral I= underset(1/2014)overset(2014)int (tan^(-1...

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  4. Let I= underset(pi /4)overset(pi /3)int (sin x)/(x) dx. Then

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  5. The value of I= underset(pi 2)overset(5pi//2)int (e^(tan^(-1) (sin x))...

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  6. The value of underset(n rarr oo)("lim") (1)/(n) {"sec"^(2) (pi)/(4n) ...

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  7. The differential equation representing the family of curves y^(2)= 2d(...

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  8. Let y(x) be a solution of (1-x^(2)) (dy)/(dx) + 2xy -4x^(2)= 0 and y(0...

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  9. The law of motion of a body moving along a straight line is x= (1)/(2)...

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  10. Find the equation of tangents at the point (1,2) of y= x^(2)

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  11. Given that n numbers of A.Ms are inserted between two sets of numbers ...

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  12. If x + log(10) (1 + 2^(x)) = x log(10) 5 + log(10)6 then the value of ...

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  13. If Z(r )= "sin" (2pi r)/(11)- "I cos" (2pi r)/(11) then underset(r = 0...

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  14. If z(1) and z(2) be two non zero complex numbers such that (z(1))/(z(2...

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  15. If b(1) b(2)= 2(c(1) +c(2))and b(1), b(2), c(1), c(2) are all real num...

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  16. The number of selection of n objects from 2n objects of which n are id...

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  17. Let A be the centre of the circle x^(2) + y^(2)-2x-4y -20 = 0. Let B(1...

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  18. Let f(x) {(-2 sin x,"if " x le - (pi)/(2)),(A sin x + B," if " -(pi)/(...

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  19. The normals to the curve y= x^(2)-x +1, drawn at the points with the a...

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  20. The equation x log x= 3- x

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