   Chapter 13.2, Problem 8E ### 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. 14.   ∫ 2 4 3 x   d x

To determine

To calculate: The value of the integral 243x12dx.

Explanation

Given Information:

The provided integral is 243x12dx.

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 243x12dx.

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.

243x12dx=324x12dx=3(x12+1

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