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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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Evaluating a Definite Integral In Exercises 17-38, evaluate the definite integral. See Examples 3 and 4.

1 4 ( 6 x + x ) d x

To determine

To calculate: The value of definite integral 14(6x+x)dx.

Explanation

Given Information:

The integral is 14(6x+x)dx.

Formula used:

The fundamental theorem of calculus states that,

If f is integrable on interval [a,b] then abf(x)dx=F(b)F(a).

The integration formula is xndx=xn+1n+1+C.

Calculation:

Consider the integral,

14(6x+x)dx

Write this in radical form as,

14(6x+x)dx=14(6x1/2+x)dx

First find antiderivative by applying the integration formula,

14(6x1/2+x)dx=[(6

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