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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