]> Exercises

Exercises

Find the area between the two curves

Use Commands not the right-click menus.

1. Find the area between the curves, sin(x) and cos(x)

Use `fsolve` to find the specific points of intersection for which we are interested.

2. Find the area between these two curves.

$\begin{array}{l}y={\left(x+2\right)}^{3}+5\\ y=-3{x}^{2}+13\end{array}$

In this case, `eq1` is a `3rd` degree polynomial and `eq2` is a second degree polynomial. A 3rd degree polynomial may intersect a line or 2nd degree polynomial in 0, 1, 2, or 3 points.

Use the `solve` command (or `fsolve` if necessary) to find the points of intersection.

Notice that computing the area in two steps or integrating the absolute value of the difference between the lower and upper limit both compute the same area between the two curves.