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int(sin^(4)2x+cos^(4)2x)/(sin^(2)2xcos^(...

`int(sin^(4)2x+cos^(4)2x)/(sin^(2)2xcos^(2)2x)dx=`

A

`(tan2x)/(2)+(cot2x)/(2)+2x+c`

B

`(tan2x)/(2)-(cot2x)/(2)+2x+c`

C

`(tan2x)/(2)+(cot2x)/(2)-2x+c`

D

`(tan2x)/(2)-(cot2x)/(2)-2x+c`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • 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`

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

    A
    `cosx-3secx+c`
    B
    `cosx+3secx+c`
    C
    `3secx-cosx+c`
    D
    `-3secx-cosx+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

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    The number of solutions of the equation 2(sin^(4)2x+cos^(4)2x)+3sin^(2)xcos^(2)x=0 is

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