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 :
Answer & explanation
Correct answer: option 1
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]
= -\(|\frac{1}{3}x^3 - \frac{7}{2}x^2 + 10x|_2^5\)
= \(\frac{9}{2}\)