$\int \large\frac{2x^2+3}{(x^2-1)(x^2+4)}$$dx=a \log \bigg(\large\frac {x+1}{x-1} \bigg)+6 \tan ^{-1} \bigg( \large\frac{x}{2}\bigg)+c$ find the value of a and b?

Question

$(a)\;(\frac{-1}{2},\frac{1}{2}) \\(b)\;(\frac{1}{2},\frac{-1}{2}) \\(c)\;(-1,1) \\ (d)\;None$