In the coordinate plane with the origin O, consider points P(t+2, 0), Q(0,−2t2−2t+4) (t≥0). If the y-coordinate of Q is nonnegative, then find the area of the region swept out by the line segment PQ.2011 Ritsumeikan University entrance exam/Pharmacy calculusintegrationanalytic geometrygeometryconicsparabolatrapezoid