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int0^pisqrt(1+4sin^2(x/2)-4sin(x/2))dx...

`int_0^pisqrt(1+4sin^2(x/2)-4sin(x/2))dx`

Answer

Step by step text solution for int_0^pisqrt(1+4sin^2(x/2)-4sin(x/2))dx by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • The integral int_0^pi sqrt(1 + 4 sin^2(x/2) - 4 sin (x/2)) dx equals :

    A
    `4 sqrt3 - 4`
    B
    `4sqrt3 - 4 - pi/3`
    C
    `pi - 4`
    D
    `(2pi)/3 - 4 - 4sqrt3`

  • The integral int_(0)^(pi)sqrt(1+4"sin"^(2)x/(2)-4"sin"x/(2)dx)=

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

  • Fundamental theorem of definite integral : int_(0)^(pi)sqrt(1+4sin^(2)""(x)/(2)-4sin""(x)/(2))dx=......

    A
    `4sqrt3-4`
    B
    `4sqrt3-4-(pi)/(3)`
    C
    `pi-4`
    D
    `(2pi)/(3)-4-4sqrt3`

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    int_(0)^(pi//4) sqrt((1-sin2x)/(1+sin2x))dx=

    int_(0)^(pi//4)sqrt((1-sin2x)/(1+sin 2x))dx=

    The integral int_(0)^(x) sqrt(1+4 sin^(2). x/2 - 4 sin. x/2 )dx equals

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