   Chapter 12, Problem 3RE ### 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 1-26. 3.   ∫ ( 12 x 3 − 3 x 2 + 4 x + 5 )   d x

To determine

To calculate: The value of the integral (12x33x2+4x+5)dx.

Explanation

Given Information:

The provided integral is (12x33x2+4x+5)dx

Formula used:

The power formula of integrals,

xndx=xn+1n+1+C

The properties of integrals,

[u(x)±v(x)]dx=u(x)dx+v(x)dx

The properties of integrals,

dx=x+C

The power rule of differentiation, ddx(xn)=nxn1.

Calculation:

Consider the provided integral,

(12x33x2+4x+5)dx

By the use the property of integrals,

(12x33

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