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int(0)^(pi//2n)(dx)/(1+(cotnx)^(n)) is e...

`int_(0)^(pi//2n)(dx)/(1+(cotnx)^(n))` is equal to `(ninN)`

A

`(npi)/(4)`

B

`(pi)/(2n)`

C

`(pi)/(4n)`

D

`(2pi)/(n)`

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FIITJEE-DEFINITE INTEGRAL -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. The value of int(0)^(2pi)|cosx-sinx|dx is equal to

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  2. int(0)^(pi//2)(dx)/(1+e^(sqrt(2)cos(x+(pi)/(4)))) is equal to

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  3. int(0)^(pi//2n)(dx)/(1+(cotnx)^(n)) is equal to (ninN)

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  4. The value of int(0)^(4pi)|sinx|-[(|sinx|)/(2)]-[(|cosx|)/(2)]dx is

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  15. inta^bsqrt((x-a)(b-x)) dx , a > b

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  16. Let f(x)=int(1)^(x)t(t^(2)-3t+2)dt,1lexle4. Then the range of f (x) is

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  17. Suppose g(x) satisfies g(x)=x+int(0)^(1)(xy^(2)+yx^(2))g(y)dy, then g(...

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  18. For x epsilonR, and a continuous function f let I(1)=int(sin^(2)t)^(1+...

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  19. If overset(4)underset(-1)int f(x)=4 and overset(4)underset(2)int (3-f(...

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  20. If f(x)=f(a+b-x), then overset(b)underset(a)int xf(x)dx is equal to

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