284

Part of 2008 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 284

Source: 1990 Tohoku University entrance exam

f(x)

is a continuous function which takes positive values for

x\geq 0.

f(x)

such that \int_0^x f(t)dt\equal{}x\sqrt{f(x)} with f(1)\equal{}\frac{1}{2}.

calculusintegrationfunctionlogarithmscalculus computations