Today's calculation of Integral 708
Source: 2008 Tokyo Institute of Technology entrance exam, 2nd Round
March 14, 2008
calculusintegrationlimittrigonometrycalculus computations
Problem Statement
Find \lim_{n\to\infty} \int_0^1 x^2|\sin n\pi x|\ dx\ (n\equal{}1,\ 2,\cdots).