(c) e="(cos(y)dr + sin(y)dy) where C is the square with vertices (1, 1), (1, –1), (-1, –1) and (-1, 1). (d) / F• dĩ where C is the ellipse ř(t) = (3 cos(t), 4 cos(t), 5 sin(t)) for o

Q: Question 11 What type of shaded region Venn diagram is shown below? A B 1 2 3 4 OA UB O AUB OA UB OA

A:

Q: a. Plot the function f(x)=x²-2x-3. [ -1,3] b. Title of the graph "The graph f(x)=x²-2x-3." c. Sample…

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A: To evaluate the given integrals.

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Q: Evaluate the following integrals, clearly showing all of your work.

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.