MathDB
Today's calculation of Integral 545

Source: 2010 Tokyo Women's Medical University entrance exam

February 1, 2010
calculusintegrationfunctioncalculus computations

Problem Statement

(1) Evaluate ∫01xex2dx \int_0^1 xe^{x^2}dx. (2) Let I_n\equal{}\int_0^1 x^{2n\minus{}1}e^{x^2}dx. Express I_{n\plus{}1} in terms of In I_n.
Back to ProblemsView on AoPS