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int(0)^(pi)(xdx)/(a^(2)cos^(2)x+b^(2)sin...

`int_(0)^(pi)(xdx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)=(pi^(2))/(2ab)`

Answer

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Explore conceptually related problems

int_(0)^((pi)/(4))(dx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)=(1)/(ab)tan^(-1).(b)/(a)(a,bge0)

Evaluate the following : int_(0)^(pi//2)(dx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)

Knowledge Check

  • The value of int_(0)^(pi) (x)/(a^(2)cos^(2)x+b^(2)sin^(2)x)dx is equal to -

    A
    `(pi)/(2ab)`
    B
    `(pi)/(ab)`
    C
    `(pi^(2))/(2ab)`
    D
    `(pi^(2))/(ab)`

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