Answered: Consider the integral 3 +3 dx (a) Find…

Consider the integral 3 +3 dx (a) Find the Riemann sum for this integral using right endpoints and n= 4. (b) Find the Riemann sum for this same integral, using left endpoints and n = 4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.4: Multiple-angle Formulas

Problem 41E

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Concept explainers

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.

Question

Consider the integral
3
+3 dx
(a) Find the Riemann sum for this integral using right endpoints and n= 4.
(b) Find the Riemann sum for this same integral, using left endpoints and n = 4
Answers (in progress)
IA

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