1. The problem statement, all variables and given/known data In the real linear space C(1, 3) with inner product (f, g) = intergal (1 to 3) (f(x)g(x))dx, let f(x) = 1/x. Knowing that g = (1/2)log3 is the constant polynomial g that is nearest to f. Compute llg-fll2 for this g. 2. Relevant equations 3. The attempt at a solution I devised llg-fll = llgll - llfll = sqrt(g, g) - sqrt(f,f). Therefore, llg-fll2 = (g, g) - (f, f) Using the equations, this equals integral(1 to 3)(1/2log3)2dx - integral (1 to 3)(1/x)2dx Simplifying I get (1/2log3)2x evaluated from 1 to 3 +1/x evaluated from 1 to 3 = log23-2/3 My book says the answer is supposed to be 2/3 - 1/2log23 but I do not get this. Where am I going wrong?