Evaluate the indefinite integral integrate of sin^4(x)cos^4(x)dx

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You should use half angle formulas such that:

`sin^2 x = (1 - cos 2x)/2 => sin^4 x = (1 - cos 2x)^2/4`

`cos^2 x = (1 + cos 2x)/2 => cos^4 x = (1 + cos 2x)^2/4`

`sin^4 x*cos^4 x = (1 - cos 2x)^2/4*(1 + cos 2x)^2/4`

`sin^4 x*cos^4 x = (1 - cos^2 2x)^2/16`

`sin^4 x*cos^4 x = (1 - 2cos^2 2x + cos^4 2x)^2/16`

Integrating both sides yields:

`int sin^4 x*cos^4 x dx= int...

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