Calculus for Business, Economics, Life Sciences, and Social Sciences, 13E Barnett, Ziegler, Byleen S

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Calculus

Chapter 5

In Problems 5–8, find each indefinite integral. 5. 3

2

+2x-8)dx

òx3(x2+2x-8)dx

æ3 6. òç èx2

æ3 òç èx2

= ò( x5 + 2 x4 - 8 x3 ) dx =

x6 2 x5 8 x4 +C + 5 4 6

=

x6 2x5 2x4 +C + 6 5

5ö x ÷ dx ø

x )dx (3x-2 -

5ö x ÷ dx = ò ø

5

2

3x-1 x7 2 = - 7 +C -1 2 =-

3 x

-

2 x7 +C 7

æ5x + 3 ö 7. òç ÷ dx è x3 ø æ5 3ö æ5x + 3 ö dx = òçèx2 + x3 ÷dx òç ÷ è x3 ø ø

( 5 x2 3)dx

= ò -x 23 +-

5 x- 1 3 x+ +C -1 -2 3 5 =- +C x 2x2

=

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