MathDB
Today's calculation of Integral 632

Source:

July 11, 2010
calculusintegrationlimittrigonometryfloor functionceiling functioncalculus computations

Problem Statement

Find lim⁡n→∞∫01∣sin⁡nx∣3dx (n=1, 2, ⋯ ).\lim_{n\to\infty} \int_0^1 |\sin nx|^3dx\ (n=1,\ 2,\ \cdots).
2010 Kyoto Institute of Technology entrance exam/Textile, 2nd exam
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