   Chapter 4.3, Problem 25E

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 4 x   d x

To determine

To Graph: Definite integral 04xdx and determine the value of the integral using geometric formula.

Explanation

Given: Definite integral 04xdx

Graph: Consider the integral 04xdx. Sketch the graph of the function f(x)=x.

Let y=f(x). Then, the equation will become y=x.

Use different values of x to find respective values of y

To determine

To calculate: Value of the integral 04xdx using geometric formula.

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