Today's calculation of Integral 542
Source: 1980 Kobe University entrance exam/Science
January 30, 2010
calculusintegrationfunctioncalculus computations
Problem Statement
Find continuous functions which takes positive value for any real number , satisfying g(x)\equal{}\int_0^x f(t)\ dt and \{f(x)\}^2\minus{}\{g(x)\}^2\equal{}1.