Question: Integrate each function (a) \(\int{\frac{{{x}^{3}}}{{{x}^{4}}+9}}dx\) (b) \(\int{\frac{x}{{{x}^{4}}+9}}dx\) (c) \(\int{\frac{{{x}^{3}}+x-2}{{{x}^{2}}+1}}\)

(d) \(\int{\frac{8x+5}{1+16{{x}^{2}}}dx}\)