Today's calculation of Integral 340
Source: 1999 Shibaura Institute of Technology entrance exam
June 10, 2008
calculusintegrationfunctionlogarithmslimitcalculus computations
Problem Statement
Find the continuous function such that xf(x)\minus{}\int_0^x f(t)\ dt\equal{}x\plus{}\ln (\sqrt{x^2\plus{}1}\minus{}x) with f(0)\equal{}\ln 2.