Today's calculation of Integral 242
Source:
October 21, 2007
calculusintegrationfunctiongeometrycalculus computations
Problem Statement
A cubic function y \equal{} ax^3 \plus{} bx^2 \plus{} cx \plus{} d\ (a\neq 0) touches a line y \equal{} px \plus{} q at x \equal{} \alpha and intersects x \equal{} \beta \ (\alpha \neq \beta).
Find the area of the region bounded by these graphs in terms of .