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Integral
calculus |
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The
indefinite integral |
Basic
rules of integration |
Table
of indefinite integrals |
Evaluation of indefinite integrals using some basic integration rules
and formulas, examples |
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Basic
rules of integration |
1)
If
F '(x)
= f (x) then |
![](I1.gif) |
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2) |
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3) |
![](I3.gif) |
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4) |
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Table
of indefinite integrals |
1) |
![](I1A.gif) |
2) |
![](I2A.gif) |
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3) |
![](I3A.gif) |
4) |
![](I4A.gif) |
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5) |
![](I5.gif) |
6) |
![](I6.gif) |
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7) |
![](I7.gif) |
8) |
![](I8.gif) |
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9) |
![](I9.gif) |
10) |
![](I11.gif) |
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11) |
![](I10.gif) |
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12) |
![](I12.gif) |
13) |
![](I13.gif) |
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14) |
![](I14.gif) |
15) |
![](I16.gif) |
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16) |
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17) |
![](I17.gif) |
18) |
![](I18.gif) |
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19) |
![](I19.gif) |
20) |
![](I20.gif) |
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21) |
![](I21.gif) |
22) |
![](I22.gif) |
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23) |
![](I23.gif) |
24) |
![](I24.gif) |
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25) |
![](I25.gif) |
26) |
![](I26.gif) |
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27) |
![](I27.gif) |
28) |
![](I28.gif) |
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29) |
![](I29.gif) |
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30) |
![](I30.gif) |
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31) |
![](I31.gif) |
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32) |
![](I32.gif) |
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33) |
![](I33.gif) |
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34) |
![](I34.gif) |
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35) |
![](I35.gif) |
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36) |
![](I36.gif) |
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37) |
![](I37.gif) |
38) |
![](I38.gif) |
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39) |
![](I39.gif) |
40) |
![](I40.gif) |
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Evaluation of indefinite integrals using some basic integration rules
and formulas examples |
Evaluate
the following indefinite integrals using basic rules and formulas; |
1. |
![](IE1.gif) |
2. |
![](IE2.gif) |
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3. |
![](IE3.gif) |
4. |
![](IE4.gif) |
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5. |
![](IE5.gif) |
6. |
![](IE6.gif) |
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7. |
![](IE7.gif) |
8. |
![](IE8.gif) |
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Example:
1.
Evaluate |
![](IE1.gif) |
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Example:
2.
Evaluate |
![](IE2.gif) |
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Example:
3.
Evaluate |
![](IE3.gif) |
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Example:
4.
Evaluate |
![](IE4.gif) |
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Example:
5.
Evaluate |
![](IE5.gif) |
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Example:
6.
Evaluate |
![](IE6.gif) |
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Example:
7.
Evaluate |
![](IE7.gif) |
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Example:
8.
Evaluate |
![](IE8.gif) |
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