Today's calculation of Integral 287
Source: 2008 Kwansei Gakuin University entrance exam
February 3, 2008
calculusintegrationgeometryfunctioncalculus computations
Problem Statement
For constant numbers , let f(x)\equal{}e^{\minus{}x}(ax\plus{}b). Suppose that the curve y\equal{}f(x) passes through two points (t,\ 1),\ (t\plus{}1,\ 1).
Find the area of the part bounded by the curve y\equal{}f(x) and the line y\equal{}1.