The curve y = x² - 7x + 10 intersects the x-axis at the points A and B. Then the area bounded by the curve and the line AB is : 

9/2

The curve y = x² - 7x + 10 intersects the x-axis at the points A(2, 0) and B(5, 0). 

hence the required area : A = - \(\int_{2}^{5}d\)x y 

A =  - \(\int_{2}^{5}d\)x [x² - 7x + 10]

  = -\(|\frac{1}{3}x^3 - \frac{7}{2}x^2 + 10x|_2^5\)

  = \(\frac{9}{2}\)