Today's calculation of Integral 413
Source: 2009 Doshisya University entrance exam
February 7, 2009
calculusintegrationtrigonometryderivativecalculus computations
Problem Statement
Find the maximum and minimum value of F(x) \equal{} \frac {1}{2}x \plus{} \int_0^x (t \minus{} x)\sin t\ dt for .