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int(0)^( pi/2)(dx)/(1+cot x)...

`int_(0)^( pi/2)(dx)/(1+cot x)`

A

`pi`

B

`pi//2`

C

`pi//4`

D

`pi//3`

Text Solution

Verified by Experts

The correct Answer is:
C
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int_(0)^(pi//2)(dx)/((1+cot^(3)x))=(pi)/(4)

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Knowledge Check

  • if int_(0)^( pi/2)(cot x)/(cot x+cos ecx)dx=m(pi-n) then the value of mn is

    A
    `-(1)/(2)`
    B
    `-1`
    C
    `(1)/(2)`
    D
    `1`

  • If int_(0)^( pi/2)(cot x)/(cot x+cos ecx)dx=m(pi+n) then m*n is equal to :

    A
    `-(1)/(2)`
    B
    `1`
    C
    `(1)/(2)`
    D
    `-1`

  • IF int_0^(pi//2) (dx)/(3 cos x+5) =k cot^-1 2 . Then what is the value of k

    A
    `1/4`
    B
    `1/2`
    C
    1
    D
    2

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    The value of the definite integral int_(0)^((pi)/(2))(dx)/(tan x+cot x+cos ecx+sec x) is

    If int_(0)^(pi/2)(dx)/(3cosx + 5) = k cot^(-1) 2 , then what is the value of K ?

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