   Chapter 12, Problem 1T ### 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 1-11 ∫ ( 6 x 2 + 8 x − 7 )   d x

To determine

To calculate: The value of the integral (6x2+8x7)dx.

Explanation

Given information:

The provided integral is,

(6x2+8x7)dx

Formula used:

Integration formulae:

(u(x)±v(x)±w(x))dx=u(x)dx±v(x)dx±w(x)dx

Where u(x),v(x) and w(x) are functions of x.

For any non-zero constant c,

cu(x)dx=cu(x)dx

For any integer n, n1,

xndx=xn+1n+1+C

Calculation:

Consider the provided integral,

(6x2+8x7)dx

Consider the formula,

(u(x)±v(x)±w(x))dx=u(x)dx±v(x)dx±w(x)dx

Substitute 6x2 for u(x), 8x for v(x) and 7 for w(x) in the above equation to get:

(6x<

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