   Chapter 5.4, Problem 28E ### 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. ∫ 0 4 ( x 1 / 2 + x 1 / 4 ) d x

To determine

To calculate: The value of definite integral 04(x1/2+x1/4)dx.

Explanation

Given Information:

The integral is 04(x1/2+x1/4)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,

04(x1/2+x1/4)dx

First find antiderivative by applying the integration formula,

04(x1/2+x1/4)dx=[(x3/23/2+x5/45/4)]04

Apply fundamental theorem of calculus,

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