   Chapter 13.2, Problem 7E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Evaluate the definite integrals in Problems 1-32. 13.   ∫ 0 5 4 x 2 3   d x

To determine

To calculate: The value of the integral 054x23dx.

Explanation

Given Information:

The provided integral is 054x23dx.

Formula used:

To calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

The power rule of integral,

undu=un+1n+1.

Calculation:

Consider the integral 054x23dx.

Calculate a definite integral, evaluate the indefinite integral and then substitute the limits of the integral.

Use the formula undu=un+1n+1 to evaluate the integral.

054x23dx=405x23dx=4(x23+123

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