For real numer c for which cx^2\geq \ln (1\plus{}x^2) for all real numbers x, find the value of c 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. calculusintegrationlogarithmsgeometryinequalitiescalculus computations