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Evaluate int (sin^(6) x + cos^(6)x )/(si...

Evaluate `int (sin^(6) x + cos^(6)x )/(sin^(2) x cos^(2) x) ` dx

Text Solution

Verified by Experts

The correct Answer is:
tan x - 3x + c
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Evaluate int(sin^(4)x)/(cos^(6)x)dx

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Knowledge Check

  • int sin^(2) x cos^(2) x dx =

    A
    `(1)/(2)( x -(sin 4x)/(4)) + c `
    B
    `(1)/(8)( x -(sin 4x)/(4)) + c `
    C
    `(1)/(8)( x +(sin 4x)/(4)) + c `
    D
    `(1)/(2)( x +(sin 4x)/(4)) + c `

  • int ( sin^(3)x+cos^(3)x)/(sin^(2)x cos^(2)x)dx=

    A
    `sin x+cos x+c`
    B
    `tanx+cot x+c`
    C
    `secx-"cosec"x+c`
    D
    `sinx-cos x+c`

  • 2(sin^(6) x + cos^(6) x ) -3(sin^(4) x + cos^(4) x ) +1=

    A
    0
    B
    `-1`
    C
    `1`
    D
    2

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