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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.

8 x 3 + 3 x 2 + 6 x 3 d x

To determine

To calculate: The indefinite integral 8x3+3x2+6x3dx.

Explanation

Given Information:

The provided indefinite integral is 8x3+3x2+6x3dx.

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

The general power rule of integrals:

undudxdx=un+1n+1+C (for n1)

The constant rule of integrals:

cdu=cdu

Calculation:

Consider the indefinite integral:

8x3+3x2+6x3dx

Now, simplify the integrand,

8x3+3x2+6x3dx=(8x3x3+3x2x3+6x3)dx=(8+3x+6

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