A3

Part of 1978 Putnam

Problems(1)

Today's calculation of Integral 344

Source: 1978 Putnam A3

Find the value of

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.

calculusintegrationalgebrapolynomiallogarithmscalculus computations