MathDB

617

Part of 2010 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 617

Source:

7/1/2010
Let y=f(x)y=f(x) be a function of the graph of broken line connected by points (−1, 0), (0, 1), (1, 4)(-1,\ 0),\ (0,\ 1),\ (1,\ 4) in the xx -yy plane. Find the minimum value of ∫−11{f(x)−(a∣x∣+b)}2dx.\int_{-1}^1 \{f(x)-(a|x|+b)\}^2dx.
2010 Tohoku University entrance exam/Economics, 2nd exam
calculusintegrationfunctioncalculus computations