Write the limit as a definite integral on the interval [a,b], where c is any point in the ith subinterval. 11. lim > Vc? + 4 Ax;[0, 3] Writing a Limit as a Definite Integral In Exercises 9–12,write the limit as a definite integral on the interval [a, b], whereC; is any point in the ith subinterval.

Given lim∆→0 ∑i=1nci2+4 ∆xi

Answered: Jc? + 4 Ax; [0, 3] 11. lim

Math

Calculus

Jc? + 4 Ax; [0, 3] 11. lim

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.2: Exponential Functions

Problem 65E

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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

Write the limit as a definite integral on the interval [a,b], where c is any point in the ith subinterval.

Writing a Limit as a Definite Integral In Exercises 9–12,
write the limit as a definite integral on the interval [a, b], where
C; is any point in the ith subinterval.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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