A study of the Decays $D \rightarrow K,\ \pi e \nu$

The CLEO-c experiment at the CESR $e^+e^-$ collider has collected 281$ {\rm pb}^{-1}$ of data at the $\psi(3770)$ resonance. Using this data sample, we have reconstructed events where one $D$ meson has decayed into a hadronic final state and the other $D$ meson has decayed as $D \rightarrow K e\nu$ or $D \to\pi e \nu$. In this talk we present improved measurements of the absolute semileptonic branching ratios and form factors in $D \rightarrow K,\pi e \nu$. We fit the $q^2$ distributions using several form factor models and measure $V_{cs(d)}\times f_+(0)$. Using $V_{cs(d)}$ values obtained from the unitarity of the CKM matrix, $f_+(q^2)$ is measured and compared with LQCD predictions. We also report measurements of $V_{cs}$ and $V_{cd}$.