Use the linit proces to find the area of the regoing bounded by the graph of the funcution and the x-axis over the given unterval. Sketch the region. *By using Summation Formulas y=x2-x3, [-1,1]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 30E
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Use the linit proces to find the area of the regoing bounded by the graph of the funcution and the x-axis over the given unterval. Sketch the region.

*By using Summation Formulas

y=x2-x3, [-1,1]

Expert Solution
Step 1

To find the area bounded by graph using limit process.

If  f(x) is the function on the interval [a,b], the area of the region bounded using limit process is given by

Calculus homework question answer, Step 1, Image 1
Step 2

Find delta x, xi and f(xi) for the given function and interval.

Calculus homework question answer, Step 2, Image 1
Step 3

Find and simplify the summation.

Calculus homework question answer, Step 3, Image 1
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