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The value of I= underset(pi 2)overset(5p...

The value of `I= underset(pi 2)overset(5pi//2)int (e^(tan^(-1) (sin x)))/(e^(tan^(-1) (sin x))+ e^(tan^(-1)(cos x)))dx`, is

A

1

B

`pi`

C

e

D

`pi//2`

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The value of I=int_((pi)/(2))^((5pi)/(2))(e^(tan^(-1))(sinx))/(e^(tan^(-1))(sinx)+e^(tan^(-1))(cosx))dx , is

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int (e^(a sin^(-1)x))/(sqrt(1-x^(2)))dx

tan ^(-1) ""(1)/(x)+tan ^(-1) ""2=(pi)/(2)

The value of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(x^(2)+1)+"tan"^(-1)(x^(2)+1)/(x))dx is equal to

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2018-MULTIPLE CHOICE QUESTIONS
  1. The value of the integral I= underset(1/2014)overset(2014)int (tan^(-1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The equation x log x= 3- x

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  19. Consider the parabola y^(2)= 4x. Let P and Q be points on the parabola...

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  20. A ladder 20 ft long leans against a vertical wall. The top end slides ...

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