3. (anti-quotient rule) (a) Use the Quotient Rule for derivatives and the Fundamental Theorem of Calculus to derive an integration formula similar to integration by parts. How is this formula different than integration by parts? Division, unlike multilplication, is not commutative. How does this impact this formula? cos²(: sin²(z explain how you selected each term and factor in the formula. (b) Use the formula you came up with in part (a) to evaluate f dr. Make sure to (c) Construct an example of another integral that you could use the formula in part (a) to evaluate. Compute this integral. Why was the formula helpful in this instance? What would you look for in an integrand to identify whether this formula would be helpful or not?

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.