(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\int sin^{2} u - cos^{2} u / \sqrt{sin^{4} u + cos^{4} }[/tex]

2. Relevant equations

3. The attempt at a solution

[tex]\int sin^{2}(u) - cos^{2}(u) / \sqrt{sin^{4}(u) + cos^{4}(u)}[/tex]

then

[tex]

\sqrt{sin^{4} u + cos^{4}}

= \sqrt{(sin^{2}(u) + cos^{2}(u))^{2} - sin^{2}(u)cos^{2}(u)}

= \sqrt{1 - 2sin^{2}(u)cos^{2}(u)}

= \sqrt{\frac{1+cos^{2}(2u)}{2}}

OR \sqrt{\frac{2 - 2sin^{2}(2u)}{2}}[/tex]

that's as much as I could simplify.. any help would be appreciated, thanks

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# Homework Help: Integral help

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