MathDB

340

Part of 2008 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 340

Source: 1999 Shibaura Institute of Technology entrance exam

6/10/2008
Find the continuous function f(x) f(x) 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.
calculusintegrationfunctionlogarithmslimitcalculus computations