Page 248 - Calculus Workbook For Dummies

232 Part IV: Integration and Infinite Series

3 2. Integrate.
Q. Evaluate # 1 dx.
x 2 1 c 1 1
c
1 = lim - E = lim - - - 1hm = - 3 + 1 = 1
^
;
A. The area is 1. c " 3 x 1 c " 3 c
1. Replace 3 with c, and turn the integral Amazing! This infinitely long sliver of
into a limit. area has an area of 1 square unit.
c
lim # 1 dx
c " 3 x 2
1

1 6
23. Evaluate # dx . 24. Compute # x lnx dx.
5 x
- 32 0
Solve It Solve It