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The valueof the integral int(0)^((pi)/(2...

The valueof the integral `int_(0)^((pi)/(2)) (1)/(1+(tanx)^(101))dx` is equal to

A

1

B

`(pi)/(6)`

C

`(pi)/(8)`

D

`(pi)/(4)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
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  2. The value of the integral int(pi//6)^(pi//2) ((1+sin 2x+cos 2x)/(sin x...

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  3. The valueof the integral int(0)^((pi)/(2)) (1)/(1+(tanx)^(101))dx is e...

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  4. The integrating factor of the differential equation 3xlog(e)x(dy)/(dx)...

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  5. Number of solutions of the equation tan x+sec x=2 cos, x, in {0, pi} i...

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  6. The value of the integral int (0)^((pi)/(4)) (sin x+cosx)/(3+ sinx2x)d...

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  7. Let y=((3^(x)-1)/(3^(x)+1)) sinx+log(e)(1+x), x gt -1 then at x=0, (dy...

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  8. Maximum value of the function f(x)=(x)/(8)+(2)/(x) on the interval [1...

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  9. For -(pi)/(2) lt x lt (3pi)/(2) the value of (d)/(dx){"tan"^(-1)(cosx)...

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  10. The value of the integral int(-2)^(2)(1+2 sinx)e^(|x|)dx is equal to

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  11. The maximum value of |z| when the complex number z satisfied the condi...

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  12. If ((3)/(2)+ (sqrt(3))/(2))^(50)=3^(25)(x+iy) where x and y are real, ...

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  13. If (z-1)/(z+1) is purely imaginary, then

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  14. Three are 100 students in a class. In an examination, 50 of them faile...

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  15. A vechicle registration number consists of 2 letters of English alphab...

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  16. The number of words that can be written using all the letters of the ...

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  17. Four speakers will address a meeting where speaker Q will always speak...

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  18. The number of diagonals in a regular polygon of 100 sides is

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  19. Let the coefficients of powers of x in the 2^(nd) and , 3^(rd), and 4^...

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  20. Let f(x)+ax^(2)+bx+c , g x= px^(2)+qx+r, such that f(1)=g(1), f(2), g(...

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