Today's calculation of Integral 338
Source: 2002 Tohoku University entrance exam
June 7, 2008
calculusintegrationgeometrytrigonometryquadraticslogarithmscalculus computations
Problem Statement
Given a parameterized curve C: x\equal{}e^t\minus{}e^{\minus{}t},\ y\equal{}e^{3t}\plus{}e^{\minus{}3t}.
Find the area bounded by the curve , the axis and two lines x\equal{}\pm 1.