MathDB

An eighth degree polynomial funtion y \equal{} ax^8 \plus{} bx^7 \plus{} cx^6 \plus{} dx^5 \plus{} ex^4 \plus{} fx^3 \plus{} gx^2\plus{}hx\plus{}i\ (a\neq 0) touches the line y \equal{} px \plus{} q at x \equal{} \alpha ,\ \beta ,\ \gamma ,\ \delta \ (\alpha < \beta < \gamma <\delta). Find the area of the region bounded by these graphs in terms of

a,\ \alpha ,\ \beta ,\gamma ,\ \delta .

Problem Statement