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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 Technology In Exercises 37 and 38, use a symbolic integration utility to find the indefinite integral. Verify your results analytically.

( x + 1 ) ( 3 x 2 ) d x

To determine

To calculate: The indefinite integral (x+1)(3x2)dx by symbolic integration utility and verify the result by analytic method.

Explanation

Given Information:

The provided indefinite integral (x+1)(3x2)dx

Formula used:

The simple power rule of integration xndx=xn+1n+1+C.

Calculation:

Consider the indefinite integral, (x+1)(3x2)dx.

Simplify the provided indefinite integral,

(x+1)(3x2)dx=[x(3x2)+1(3x2)]dx=(3x22x+3x2)dx=(3x2+x2)dx

Now, to solve the above indefinite integral use MAPLE software,

Step 1: Open the MAPLE software and select indefinite integral symbol f(x)dx.

Step 2: Enter the function as f(x)=3x2+x2 and press enter.

The integration of the indefinite integral is shown below:

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