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Today's calculation of Integral 272

Source: 1981 Nagasaki University entrance exam

January 20, 2008
calculusintegrationlimittrigonometrysearchcalculus computations

Problem Statement

Find lim⁡n→∞∫0πex∣sin⁡nx∣dx. \lim_{n\to\infty} \int_0^{\pi} e^x|\sin nx|dx.
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