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int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx...

`int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx`

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int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx=

If int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx=a sin2x+C then a=

Knowledge Check

  • int (sin^8x-cos^8 x)/(1-2 sin^2 x cos ^2 x) dx is equal to

    A
    `-1/2 "sin"2 x+C`
    B
    `1/2 "sin"2x+C`
    C
    `1/2 sin x+C`
    D
    `- 1/2 "sin" x+C`
  • If int(sin^(8)x-cos^(8)x)/(1-2sin^(2)xcos^(2)x)dx=A sin 2x+B, then A =

    A
    `-(1)/(2)`
    B
    `(1)/(2)`
    C
    `-1`
    D
    1
  • int(sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)dx=

    A
    `tanx+cotx+c`
    B
    `tanx+cosecx+c`
    C
    `-tanx+cotx+c`
    D
    `tanx+secx+c`
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