Today's calculation of Integral 252
Source: 1971 Tokyo University of Foreign Studies entrance exam
December 12, 2007
calculusintegrationtrigonometryderivativecalculus computations
Problem Statement
Compare \displaystyle f(\theta) \equal{} \int_0^1 (x \plus{} \sin \theta)^2\ dx and \ g(\theta) \equal{} \int_0^1 (x \plus{} \cos \theta)^2\ dx for