(adsbygoogle = window.adsbygoogle || []).push({}); Find the exact length of the curve analytically by antidifferentiation:

y = (x^{3}/3) + x^{2}+ x + (1/(4x +4)) on the interval 0 < x < 2

So I set it up using the length of a curve formula:

L = [tex]\int\sqrt{1+(x^2+2x+1+(\frac{-1}{4(x+1)^2}}[/tex]

And simplified it to

L = [tex]\int\sqrt{\frac{1}{2}+(x+1)^4+\frac{1}{16(x+1)^4}}[/tex]

But I cannot figure out how to antidifferentiate this! Any help is appreciated :)

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# Arc length: Can't Solve the Integral

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