Consider the function f (x) = x² +1 on the interval [0,5] whose graph is shown here: Use a Left Riemann sum with twelve rectangles to approximate the area of the region between the graph of the function and the x-axis from x=0 to x=5, using the left endpoints of the subintervals to find the heights of your rectangles. Round any answers to THREE DECIMAL PLACES.
Consider the function f (x) = x² +1 on the interval [0,5] whose graph is shown here: Use a Left Riemann sum with twelve rectangles to approximate the area of the region between the graph of the function and the x-axis from x=0 to x=5, using the left endpoints of the subintervals to find the heights of your rectangles. Round any answers to THREE DECIMAL PLACES.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
Problem 54CR
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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.
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![Consider the function f (x) = x² +1 on the interval [0,5] whose graph is shown here:
Use a Left Riemann sum with twelve rectangles to approximate the area of the region between the graph of the function and the x-axis from x=0 to x=5, using the
left endpoints of the subintervals to find the heights of your rectangles. Round any answers to THREE DECIMAL PLACES.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbfcbb9fa-6509-4c2e-9f7c-766a402cdc05%2F1ea128a9-1b68-477c-8609-9021502d420d%2Fsspla_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function f (x) = x² +1 on the interval [0,5] whose graph is shown here:
Use a Left Riemann sum with twelve rectangles to approximate the area of the region between the graph of the function and the x-axis from x=0 to x=5, using the
left endpoints of the subintervals to find the heights of your rectangles. Round any answers to THREE DECIMAL PLACES.
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