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The value of the integral int(0)^((pi)/4...

The value of the integral `int_(0)^((pi)/4)(sqrt(tanx))/(sinx cos x) dx` equals

A

1

B

2

C

0

D

4

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Given int_(0)^(pi//2)(dx)/(1+sinx+cosx)=A . Then the value of the definite integral int_(0)^(pi//2)(sinx)/(1+sinx+cosx)dx is equal to

    A
    `1/2A`
    B
    `(pi)/2-A`
    C
    `(pi)/4-1/2A`
    D
    `(pi)/2+A`

  • The value of the integral int_(0)^(pi//4) (sinx+cosx)/(3+sin2x)dx ,is

    A
    log 2
    B
    log 3
    C
    `(1)/(4)log3`
    D
    `(1)/(8)log3`

  • int_(0)^(pi//2) (sinx )/(sin x + cos x ) dx=

    A
    `pi/4`
    B
    `pi/2`
    C
    `(3pi)/4`
    D
    `(3pi)/2`

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