Today's calculation of Integral 581
Source: 2010 Hokkaido University entrance exam/Science and Technology, 2nd exam
March 13, 2010
calculusintegrationlogarithmsgeometryinequalitiescalculus computations
Problem Statement
For real numer for which cx^2\geq \ln (1\plus{}x^2) for all real numbers , find the value of such that the area of the figure bounded by two curves y\equal{}cx^2 and y\equal{}\ln (1\plus{}x^2) and two lines x\equal{}1,\ x\equal{}\minus{}1 is 4.