Consider the area under the graph of f (x)=x – 3x, from x = 2 to x= 4. a. Estimate the area under the graph, on the given interval, by using 4 rectangles and left endpoints, L.

Q: The area between z = 0 and  z = −1.96 is

A: The are between z=-1.96 and z=0 is, P-1.96<z<0=Pz<0-Pz<-1.96 The probability of z less…

Q: Estimate the area under the graph of f(x) = x? + 2x from x = 1 to x = 7 using 3 approximating…

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Q: find the area between the graphs of y = (x + 1)* and y 3z +1. a)1, b) 3.

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Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: Find the area between the curve of g(x) = 3x² · - 3 and the x-axis, from x = 1 to - x = 5.

A: Since in first question it is asking to use graphing display calculator so kindly mention if you…

Q: Find the area between the graph of y = x - 6x + 8 and the x-axis from x = 1 to x = 3.

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Q: Given the function y z²+z+1.5, determine the area under the curve from the y-axis to the point where…

A: Given Function

Q: Estimate the area under 3x+1, using R4, from 3 to 5

A: Given: f(x)= 3x+1 using R4, from 3 to 5.

Q: Q1.A: Find the area of the shaded region shown in figure (1). y = 1 y = x2 x 1+ y2 Figure (1) y = -1

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Q: Find the area bounded by the curve y (x- 2)(x + 1)(2x – 1) and x-axis.

A: We use integration to find the area.

Q: Approximate the area under the graph of f(x) and above the x-axis using n right rectangles. f(x) =…

A: This question is about application of reminam intergal

Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

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Q: Estimate the area under the graph of f(x) = 1 + x 2 from x = −1 to x = 2 using three rectangles and…

A: To find the area under the graph of f(x)=1+x2 from x = −1 to x = 2 using three rectangles and right…

Q: First of all it can be computed as a sum of two integrals 9. f(x) dx + 8(x) dx where a = b = C =…

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Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [-1,2] by…

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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.