5. Find the area of the region that is enclosed by the graphs of the functions: y=-x? - 3x + 4 and y=x2 -3x-4

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Q: 4 The area under the curve y = 3x* and above the x-axis between I = 5 and x = 10 is: area The area…

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Q: 7. A rancher want to enclose three rectangular areas in a field, one for sheep, one for cattle, and…

A: Hi, thank you for the question. Since you have posted a question with multiple subparts, as per our…

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Q: ーメ44 ifx 小0 2x-5 if OLx<3 fE) = Vx-2 if メ=3

A: Explanation of the answer is as follows

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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.