Approximate Value of Pi
Source: 1968　Putnam A1
May 26, 2008
integrationalgebrapolynomialPutnamcalculuscollege contests
Problem Statement
Prove
\ \ \ \frac{22}{7}\minus{}\pi \equal{}\int_0^1 \frac{x^4(1\minus{}x)^4}{1\plus{}x^2}\ dx.
Source: 1968　Putnam A1