   Chapter 12.1, Problem 21E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Evaluate the integrals in Problems 5-28. Check your answers by differentiating. ∫ 5 x 4 d x

To determine

To calculate: The integral 5x4dx.

Explanation

Given Information:

The provided integral is 5x4dx

Formula used:

The power formula of integrals:

xndx=xn+1n+1+C (forn1)

The power rule of differentiation:

ddx(xn)=nxn1

Calculation:

Consider the provided integral:

5x4dx

Rewrite the integral as:

5x4dx

Use the power rule of integrals:

xndx=xn+1n+1+C

To obtain the integral as:

5x

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