Chapter 8.7, Problem 41E

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 41–48, use a table of integrals to evaluate the definite integral. ∫ 0 1 x 1 + x   d x

To determine

To calculate: The value of the definite integral 01x1+xdx by the use of a table of integrals.

Explanation

Given:

The integral is: âˆ«01x1+xdx.

Formula used:

Use the formula 21 from the table of integrals:

âˆ«ua+buduÂ =âˆ’2(2aâˆ’bu)3b2a+bu+C

Calculation:

Consider the provided integral,

âˆ«01x1+xdx

Now, use the formula 21 to solve the integral.

Let a=1, b=1, and u=x. Then du=dx.

âˆ«x1+xdx=âˆ’2(2â‹…1âˆ’1â‹…x)3â‹…1</

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