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Lesson 1: Integration Techniques (Substitution and By Parts) and Definite Integrals — Picture questions (exam style)

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1.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
2.197
0.6667
1.099
-1.099
2.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-1
1
2
1.571
3.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-0.3071
0.6142
0.75
0.3071
4.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-1.386
1.386
0.5
2.773
5.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-4.575
4.575
9.149
7.389
6.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
0.5754
-0.2877
0.5
0.2877
7.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
0
0.6667
-0.3333
0.3333
8.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
0.6
2.303
4.605
-2.303
9.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-0.75
1.5
2
0.75
10.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-224.2
224.2
448.5
109.2
11.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-0.5
0.5
1
0
12.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
806.9
-224.2
224.2
448.5
13.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-0.1111
0.5236
0.1111
0.2222
14.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-1.609
3.219
1.609
0.8
15.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-1.296
1.099
1.296
2.592
16.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
1.705
0.5455
3.409
-1.705
17.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
20.09
9.149
-4.575
4.575
18.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-1.75
1.75
3.5
4
19.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
69.33
-34.67
72
34.67
20.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-41.2
82.4
109.2
41.2
21.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-1.25
2.5
1.25
3
22.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
41.33
-20.67
20.67
50
23.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
0.7854
1
1.571
-0.7854
24.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
2.097
-2.097
2.718
4.195
25.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
7.389
2.097
-2.097
4.195
26.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
0.75
0.6319
1.264
-0.6319
27.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
1210
504.5
1009
-504.5
28.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
2.944
-2.944
3.296
5.888
29.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
16.78
14.78
-8.389
8.389
30.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-0.5236
0
1.047
0.5236
31.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
98
105.3
-52.67
52.67
32.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
1828
-1828
3993
3656
33.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
0.8109
0.4055
0.6667
-0.4055
34.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-7203
2.431e+04
7203
1.441e+04
35.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
0
0.5
-0.25
0.25
36.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
1.74
-1
2
1
37.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
1
1.386
0.6931
-0.6931
38.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
1.571
0
-1.571
3.142
39.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-0.25
0.7854
0.5
0.25
40.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
-1250
3000
2500
1250
41.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
2
2.718
-1
1
42.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
2
8.389
-8.389
16.78
43.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
1.571
0.7854
-0.7854
0
44.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
6.999
9.888
14
-6.999
45.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
5164
5184
2582
-2582
46.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
82.34
60.26
41.17
-41.17
47.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
14.78
82.4
41.2
-41.2
48.
Evaluate the definite integral shown (substitution or by parts).
Evaluate the definite integral shown (substitution or by parts).
0.8473
-0.8473
0.5714
1.695
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