MathDB
Today's calculation of Integral 675

Source:

February 7, 2011
calculusintegrationanalytic geometrygeometryconicsparabolatrapezoid

Problem Statement

In the coordinate plane with the origin OO, consider points P(t+2, 0), Q(0,−2t2−2t+4) (t≥0).P(t+2,\ 0),\ Q(0, -2t^2-2t+4)\ (t\geq 0). If the yy-coordinate of QQ is nonnegative, then find the area of the region swept out by the line segment PQPQ.
2011 Ritsumeikan University entrance exam/Pharmacy
Back to ProblemsView on AoPS