Recent content by DJ-Math

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    Integral of (1-x^2)/(1+x^2)*(1/(1+x^4)^(1/2))dx

    Right you are! I'll fix that up. Should be: (1/sqrt2)*arctan(sqrt((x^2 + 1/x^2)/2)) yeah?
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    Integral of (1-x^2)/(1+x^2)*(1/(1+x^4)^(1/2))dx

    I THINK I GOT IT. If someone could check the photo for errors that'd be great.
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    Integral of (1-x^2)/(1+x^2)*(1/(1+x^4)^(1/2))dx

    Here's my two attempts at a solution (photo attached - second photo is a little messy) - I tried a trig substitution and the u substitution and a following simplification. I also looked through the past 5 months of "integration" related questions and couldn't find this particular question so if...
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    Integral of (1-x^2)/(1+x^2)*(1/(1+x^4)^(1/2))dx

    Hi, I'm trying to solve ∫(x2-1)/(1+x2)*1/(1+x4)(1/2)dx I'm apparently meant to get some non-complex result, the question suggests to use the substitution u2 = x2 + 1/x2 But I haven't gotten anywhere with this. Any methods or suggestions (or the solution) would be much appreciated! Thanks