(a)[5]
Find the $x$-coordinate at which the normal to the curve crosses the $x$-axis.
(b)[6]
Find the area of the shaded region, and give your answer correct to $2$ decimal places.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates the line $x = \frac{5}{2}$, a segment of the curve $y = \frac{1}{2}x + \frac{7}{10} - \frac{1}{(x-2)^3}$ and the normal to the curve at the point $A\left(3, \frac{6}{5}\right)$.