1. Find the exact length of r=3sintheta, 0leq theta leq pi / 3. 2. Find the curve bounded by r=4cos 3theta, 0leq theta leq 2pi . Find the length L of the curve given by the polar function r = e^{4 theta}, from...
A region in the Cartesian plane can be regular (triangles, circles) or it can be delimited by curves. In the case that the region is delimited by curves, the area can be calculated by applying a definite integral which is evaluated by the fundamental t...
Find the area of the region bounded by the graphs of the given equations. y = 2x^2 - 5x + 5; y = x^2 + 4x - 3 The area between the curves is . (Simplify your answer.) Find the area of the region bounded by the graphs of...
Second is the graphical method, where we first find the graph of the function inside the integrals, and then find the area from the graphs, which is the same as the result of the integration. Answer and Explanation: Figure The figure is showing the b...