{"type":"rich","version":"1.0","title":"Undetermined coefficients in the partial fraction expansion of 1/(s(s²+1))","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"\\frac{1}{s(s^{2}+1)}=\\frac{A}{s}+\\frac{Bs+C}{s^{2}+1}\\ \\Rightarrow\\ A(s^{2}+1)+s(Bs+C)=1\\ \\Rightarrow\\ A=1,\\ B=-1,\\ C=0\">\\frac{1}{s(s^{2}+1)}=\\frac{A}{s}+\\frac{Bs+C}{s^{2}+1}\\ \\Rightarrow\\ A(s^{2}+1)+s(Bs+C)=1\\ \\Rightarrow\\ A=1,\\ B=-1,\\ C=0</span>","width":640,"height":320}