Chapter 8.1, Problem 69E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Evaluating a Definite Integral In Exercises 57-72, evaluate the definite integral. Use a graphing utility to verify your result. ∫ 0 2 / 3 1 4 + 9 x 2   d x

To determine

To calculate: The definite integral and verify result by using the graphing utility.

Explanation

Given: âˆ«02314+9x2dx

Calculation:

Consider the integral,

âˆ«02314+9x2dx

Take 9 common from numerator,

âˆ«02314+9x2dx=19âˆ«023149+x2dx=19âˆ«0231(23)2+x2dx

Apply the integration formula,

âˆ«1u2+a2du=1aarctanua+c

Hence,

âˆ«02314+9x2dx=19Ã—

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