If \(\int \frac{dx}{x^{\frac{1}{2}}\left(1+x^{2}\right)^{\frac{5}{4}}}=\frac{A\sqrt{x}}{\sqrt[4]{1+x^{2}}}+C\), then \(A\) equals

\(1\) \(2\) \(3\) \(0\)

\(2\)

\(\left(1+x^2\right)^{\frac{5}{4}}=x^{\frac{5}{2}}\left(1+x^{-2}\right)^{\frac{5}{4}}\), let \(1+x^{-2}=t\)