Paneer Definite Masala 6

$\begin{aligned} && \int_{-100}^{101}\dfrac1{(5+2x-2x^2)(1+e^{2-4x})}\, dx \\ && \int_{-100}^{101}\dfrac1{5+2x-2x^2}\,dx\end{aligned}$

Let $I_1$ and $I_2$ denote the Cauchy Principal Value of the first and second integral above. Find $\dfrac{I_1}{I_2}$ .