"Show all work and write in proper limit notation" Use the form of the definition of the integral in theorem 4 to evaluate the integral.-x')HINT: Theorem 4 (section 5.2) Use proper limit notation! 4 Theorem If f is integrable on [a, b], then"S(x) dx =lim E f(x;) Axai=1b- aAx =andX; = a + i Axwhere

we have the integral ∫02(2x-x3)dx by comparing it with the theorem we get the function…

Answered: Use the form of the definition of the…

Use the form of the definition of the integral in theorem 4 to evaluate the (2x-x') dx HINT: Theorem 4 (section 5.2) Use proper limit notation!

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 22E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

"Show all work and write in proper limit notation"

Use the form of the definition of the integral in theorem 4 to evaluate the integral.
-x')
HINT: Theorem 4 (section 5.2) Use proper limit notation!

4 Theorem If f is integrable on [a, b], then
"S(x) dx =
lim E f(x;) Ax
a
i=1
b- a
Ax =
and
X; = a + i Ax
where

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