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
$=-\int\limits_2^5y\,dx=-\int\limits_2^5(x^2-7x+10)dx$
$=-\begin{bmatrix}\frac{x^3}{3}-\frac{7x^2}{2}+10x\end{bmatrix}_2^5=4.5$
Hence (A) is the correct answer.