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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Using Integration Tables In Exercises 37– 44, use the integration table in Appendix C to evaluate the definite integral. See Example 4.

0 1 x 1 + x d x

To determine

To calculate: The solution of definite integral 01x1+xdx.

Explanation

Given Information:

The provided definite integral is;

01x1+xdx

Formula used:

The formula for the integral ua+budu is;

ua+budu=2(2abu)3b2a+bu+C

The General power differentiation Rule is;

ddx[un]=nun1dudx

Calculation:

Consider u=x.

Differentiate the considered function with respect to x using power rule of differentiation.

du=dx

Consider the provided expression:

01x1+xdx

Rewrite.

01x1+xdx=01x1+(1)xdx

Here, a=1, b=1, u=x and du=dx.

Substitute u for x, a for 1, b for 1, and du for dx

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