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Evaluate: int0^(pi/4)(cos^2x)/(cos^2x+4s...

Evaluate: `int_0^(pi/4)(cos^2x)/(cos^2x+4sin^2x)dx\ `

Answer

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Knowledge Check

  • The value of int_0^(pi//4)(sinx+cosx)/(cos^2x+sin^4x)dx is

    A
    `1/2log((sqrt3-1))/sqrt2`
    B
    `1/(2sqrt3)log((sqrt3+1)/sqrt2)+pi/4`
    C
    `1/2log((sqrt3+1)/sqrt2)+pi/4`
    D
    `1/sqrt3log((sqrt3+1)/sqrt2)+pi/4`

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