### 2nd Putnam 1939

**Problem A1**

Let C be the curve y^{2} = x^{3} (where x takes all non-negative real values). Let O be the origin, and A be the point where the gradient is 1. Find the length of the curve from O to A.

**Solution**

Ans: 8/27 (2√2 - 1). Trivial integration.

2nd Putnam 1939

© John Scholes

jscholes@kalva.demon.co.uk

4 Sep 1999