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int (sin 2x)/(sin^4x+cos^4 x) dx is equ...

`int (sin 2x)/(sin^4x+cos^4 x) dx ` is equal to

A

`2 tan^(-1)(tan^2x)+C`

B

`tan^(-1)(x tan^2x)+C`

C

`tan^(-1)(tan^2 x)+C`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

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

    A
    `tan^(-1) (cot^2 x)`
    B
    `tan^(-1) (tan^2 x)`
    C
    `tan^(-1) (sec^2 x)`
    D
    none

  • int(sin2x)/(sin^4x+cos^4x)dx is equal to

    A
    `2tan^(-1)(tan^2x)+C`
    B
    `tan^(-1)(xtan^2x)+C`
    C
    `tan^(-1)(tan^2x)+C`
    D
    None of these

  • int_(-pi)^pi (sin^4 x)/(sin^4x+cos^4x) dx is equal to

    A
    `pi/4`
    B
    `pi/2`
    C
    `pi`
    D
    `2pi`

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