MathDB
Today's calculation of Integral 279

Source: 1982 Kwansai University entrance exam/Engineering

January 23, 2008
calculusintegrationfunctioncalculus computations

Problem Statement

If the function f(x) \equal{} 3x^2 \plus{} 2ax \plus{} b satisfies \int_{ \minus{} 1}^1 |f(x)|\ dx < 2, then show that f(x) \equal{} 0 has distinct real roots.