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Approximate the area under the curve y = x 3 from x = 3 to x = 5 using a right endpoint approximation with 4 subdivisions.

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The approximation of the area of the region R is 182.8125

Given:

y = x^3

from [2,5] using 6 subdivisions

deltax = (5 - 2)/6 = 3/6 = 0.5

hence the subdivisions are:

[2, 2.5]; [2.5, 3]; [3, 3.5]; [3.5, 4]; [4, 3.5]; [4.5, 5]

hence the right endpoints are:

x1 = 2.5; x2 = 3; x3 = 3.5; x4 =4; x5 = 4.5; x6 = 5

now the area is given by:

A = deltax*[2.5^3 + 3^3 + 3.5^3 + 4^3+ 4.5^3 + 5^3]

A = 0.5*365.625

A = 182.8125

The area using the Right Endpoint approximation is 182.8125.

Read more about definite integrals at:

brainly.com/question/9897385

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