MathDB
Today's calculation of Integral 679

Source:

February 13, 2011
calculusintegrationcalculus computations

Problem Statement

Find k=13n101x(1x)k dx\sum_{k=1}^{3n} \frac{1}{\int_0^1 x(1-x)^k\ dx}.
2011 Hosei University entrance exam/Design and Enginerring