   Chapter 4.3, Problem 26E

Chapter
Section
Textbook Problem

Evaluating a Definite Integral Using a Geometric Formula In Exercises 23-32, sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral ( a > 0 , r > 0 ) . ∫ 0 8 x 4   d x

To determine

To Graph: The integral 08x4dx and find the value of the integral using geometric formula.

Explanation

Given: 08x4dx

Graph: Consider the provided integral 08x4dx. Sketch the graph of the function f(x)=x4.

Let y=f(x), then the equation will be y=x4.

Use different values of x to find respective values of y.

Below is the table for the values of x and y:

xy=x48241004182

Given area to be considered is from x=0 to x=8

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