Chapter 8.1, Problem 72E

### 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 t 7 x 2 + 2 x ( x + 1 )   d x

To determine

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

Explanation

Given: âˆ«017x2+2x(x+1)dx

Calculation:

Consider the integral,

âˆ«017x2+2x(x+1)dx

Substitute,

u=x2+2xâˆ´du=(2x+2)dxâˆ´12du=(x+1)dx

Therefore,

âˆ«017x2+2x(x+1)dx=12âˆ«017udu

Apply the integration formula,

âˆ«audu=aulna+c

Hence,

âˆ«017x2+2x(x<

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