Estimate the area of the region bound by the graph of f (x) = x² + 3x and the x-axis on [2, 5] using a right-endpoint Riemann sum with n = 50 rectangles.

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

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Q: Calculate, if possible, the area of the region that lies between the curve of the function f(x) = _6…

A: First, we should recognize that the function F(x) is defined for all real numbers x except for x = 2…

Q: Estimate the area under the graph of f(x)=1/x+3 over the interval [-1,2] using ten approximating…

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Q: Find the area bounded by the curve y = x² – 6x + 5 and the x-axis from -2 to 2 using %3D Riemann…

A: area bounded by curve using Riemann sum

Q: Estimate the area under the graph of f(x) = √x + 4 over the interval [−4, −2] using eight…

A: fx=x+4 To find: The area under the graph fx=x+4 over the interval -4,-2 using the midpoint formula…

Q: Find the area of the region bounded by the graphs of ƒ1x2= 5 - x2 and g1x2= x2 - 3 (as shown).

A: Given fx=5-x2  and gx=x2-3 We have to find the area of bounded region.

Q: Estimate the area under the graph of f(x) = 0.5x2 + 1 over [0, 6] and n = 6

A: Given: f(x) = 0.5x2 + 1 over [0, 6] and n = 6

Q: V f(x = - (x – 8) (x – 15) V g(x) = -x + (10,15) 15 V Label: (10, 15), (14,9) V Label: 10 (14, 9).…

A: To find the area of region enclosed by functions f and g

Q: - Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12…

A: Here h = b-an = 12-04 = 3

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.