   Chapter 5.4, Problem 30E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### 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. ∫ 2 7 − 8 x d x

To determine

To calculate: The value of definite integral 278xdx.

Explanation

Given Information:

The integral is 278xdx.

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 1xdx=lnx+C.

Calculation:

Consider the integral,

278xdx

First find antiderivative by applying the integration formula 1xdx=lnx+C,

278xdx=[8(lnx)]27

Apply fundamental theorem of

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