$$$\int _{\:0}^{\:1}\left(\frac{\left(1-t^2\right)}{1+t^4}\right)\:dt$$$
Somebody who knows solve this one?
It's a definite integral so:
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According to www.wolframalpha.com/calculators/integral-calculator
the answer is: [ log(t² + √2t + 1) - log(-t² + √2t - 1) ] / [ 2√2 ]