Math 1001 005
Worksheet 2
Practice problems not to be handed in.
1. Use the denition of the denite integral, with right endpoint tags, to evaluate
2
(2x2 x + 1) dx
2
2. Use the denition of the denite integral, with left endpoint tags, to evaluate
4
(3 5x)
Math 1001 Review
Basic integrals you should remember
1.
k dx = kx + C
2.
xn dx =
3.
1
dx = ln |x| + C
x
4.
ex dx = ex + C
5.
bx dx =
6.
sin x dx = cos x + C
7.
cos x dx = sin x + C
8.
sec2 x dx = tan x + C
9.
csc2 x dx = cot x + C
xn+1
+ C if n = 1
n+1
bx
Math 1001 005
Worksheet 12
Extra practice on integrals
Practice problems not to be handed in.
Evaluate the following integrals:
(a)
tan(ln x)
dx
x
(b)
x2
dx
9 25x2
(c)
(ln x)2 dx
(d)
x
dx
x2 + 9
(f )
tan2 () d
(h)
sin5 ()
d
cos3 ()
(j)
cos(2x) cos(3x) dx
Name:
MATH 1001 005
Midterm 2
Version 2
17 March 2010
orufows V9
Student number:
Instructor: Andrea Burgess
Notes:
1. This examination is 50 minutes long.
2. This is a closedbook exam; NO books or notes are permitted. You may
use a c