MathDB
Today's calculation of Integral 243

Source:

October 22, 2007
calculusintegrationfunctiongeometrycalculus computations

Problem Statement

A cubic funtion y \equal{} ax^3 \plus{} bx^2 \plus{} cx \plus{} d\ (a\neq 0) intersects with the line y \equal{} px \plus{} q at x \equal{} \alpha ,\ \beta ,\ \gamma\ (\alpha < \beta < \gamma). Find the area of the region bounded by these graphs in terms of a, α, β, γ a,\ \alpha ,\ \beta ,\ \gamma.
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