MathDB
Today's calculation of Integral 244

Source:

November 3, 2007
calculusintegrationfunctiongeometrycalculus computations

Problem Statement

A quartic funtion y \equal{} ax^4 \plus{} bx^3 \plus{} cx^2 \plus{} dx\plus{}e\ (a\neq 0) touches the line y \equal{} px \plus{} q at x \equal{} \alpha ,\ \beta \ (\alpha < \beta ). Find the area of the region bounded by these graphs in terms of a, α, β a,\ \alpha ,\ \beta.