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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