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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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Finding indefinite integrals In Exercises 31–46, use any basic integration formula or formulas to find the indefinite integral. State which integration formula(s) you used to find the integral.

x 1 4 x d x

To determine

To calculate: The indefinite integral x14xdx.

Explanation

Given Information:

The provided indefinite integral is x14xdx.

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

The constant rule of integrals:

cdu=cdu (for n1)

Calculation:

Consider the indefinite integral:

x14xdx

Now, simplify the integrand,

x14xdx=(x4x14x)dx=

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