Cubic curve integral - area enclosing curve and x-axis
The curve is x^3-6x^2+11x-6. I have to prove that the two regions enclosed between the x-axis and the curve are equal. Given is, that the curve cuts the x-axis at x=1,x=2 and x=3. I tried finding the area by doing the integral between 1 and 2, and then 2 and 3, but I always get the wrong answer. It should be 1/4 square unit. Please help me with this?