Integrate ∫dy/(y(y^2 + 1))
Let us integrate "\\int\\frac{dy}{y(y^2 + 1)}:"
"\\int\\frac{dy}{y(y^2 + 1)}=\\int(\\frac{1}{y}-\\frac{y}{y^2+1})dy\n=\\ln|y|-\\frac{1}{2}\\int(\\frac{d(y^2+1)}{y^2+1})\n\\\\=\\ln|y|-\\frac{1}{2}\\ln(y^2+1)+C."
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