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The value of int(pi//4)^(pi//3) (dx)/( s...

The value of `int_(pi//4)^(pi//3) (dx)/( sinx + tanx)` is

A

`3//4`

B

`1//2`

C

`2//3- sqrt(2) //2`

D

none of these

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • What is the value of int_(pi//6)^(pi//4) (dx)/(sinx cos x) ?

    A
    `2 ln sqrt(3)`
    B
    `ln sqrt(3)`
    C
    `2 ln 3`
    D
    `4 ln 3`

  • What is the value of int_(pi//6)^(pi//4) (dx)/(sinx cos x) ?

    A
    `2 log sqrt3`
    B
    `log sqrt3)`
    C
    `2 log 3`
    D
    `4 log 3`

  • The value of int_(0)^(16pi//3) |sinx|dx is

    A
    21
    B
    `21//2`
    C
    10
    D
    11

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