Identifying and overcoming natural fear is one of the pleasing struggles intrinsic to climbing. Alex Lowe
Exam 3 Extended Guide
Find the indicated antiderivative. CHECK YOUR ANSWERS
1.
Z
3x2 sec x3 tan x3 dx =
2.
Z
e3x+1 dx =
3.
Z
sin3 x cos x dx =
4.
Z
5.
Z
(x2
2x
dx =
+ 1)3
2x
dx =
+1
x2
6.
Z
2x + 3
dx =
x2 + 1
7.
Z
p
4x3 x4
8.
Z
p
x x
9.
Z
2
p
x x4
10.
Z
sin
p
1
1 dx =
5 dx =
1
1
x
dx =
2
x2
dx =
11.
Z
tan2 x sec2 x dx =
12.
Z
(ln x)3
dx =
x
13.
Z
p
14.
Z
2
x x4
15.
Z
sin3 x cos x dx =
4x3
dx =
x4 1
p
1
dx =
16.
Z
tan2 x sec2 x dx =
17.
Z
p
18.
Z
1
dx =
x (ln x)2
19.
Z
1
dx =
x ln x
20.
Z
p
x
dx =
x+1
1
e2x
1
dx =
21.
Z
p
22.
Z
e4x dx =
23.
Z
sin2 x cos x dx =
24.
Z
2xex dx =
25.
Z
e x
p dx =
x
cos x
dx =
1 + sin x
2
p
26.
Z
sec x tan x
dx =
(1 + sec x)2
27.
Z
sin
p
1
28.
Z
e2x+5 dx =
29.
Z
p
x x + 4 dx
30.
Z
p
1
x
dx =
x2
x
dx
x 5
31.
Z
32.
Z
4x + 3
dx
x2 + 1
33.
Z
1
x x6
34.
Z
tan5 x sec2 x dx
35.
Z
p
4x
dx
+1
x2
p
1
x
1
x4
dx
dx