MathDB
Today's calculation of Integral 344

Source: 1978 Putnam A3

June 14, 2008
calculusintegrationalgebrapolynomiallogarithmscalculus computations

Problem Statement

Find the value of k (0<k<5) k\ (0<k<5) such that \int_0^{\infty} \frac{x^k}{2\plus{}4x\plus{}3x^2\plus{}5x^3\plus{}3x^4\plus{}4x^5\plus{}2x^6}\ dx is minimal.
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