MathDB
Today's calculation of Integral 851

Source: 2012/10/28 National Defence Medical College

November 3, 2012
calculusintegrationfunctiontrigonometrylimitgeometric seriescalculus computations

Problem Statement

Let TT be a period of a function f(x)=∣cos⁡x∣sin⁡x (−∞, ∞).f(x)=|\cos x|\sin x\ (-\infty,\ \infty). Find lim⁡n→∞∫0nTe−xf(x) dx.\lim_{n\to\infty} \int_0^{nT} e^{-x}f(x)\ dx.
Back to ProblemsView on AoPS