Answer to Question #298041 in Calculus for Diablo

Question

6. Do the following tasks using Mathematica.

Given,

f(x) = x 3 − x 2 − 2x + 1

g(x) = sin(x)

(a) Plot the above functions in a single graph for −π ≤ x ≤ π.

(b) Find the limits of the integration for the the area of the region enclosed by f(x) and g(x) for −π ≤ x ≤ π.

Hint: Solve the equations to find the intersections.

(c) Finally, do the integration to find the area.