Today's calculation of Integral 211
Source: Ochanomizu Women University entrance exam 1969
June 16, 2007
calculusintegrationconicsparabolahyperbolageometrycalculus computations
Problem Statement
When the parabola which has the axis parallel to -axis and passes through the origin touch to the rectangular hyperbola in the first quadrant moves,
prove that the area of the figure sorrounded by the parabola and the -axis is constant.