Some Rules for Integration
Example 1
Evaluate
Solution : Using rule 2, we find that
Also, using formula ( 1 ), we get
Example 2
Evaluate
Solution : Using rule 2 and formula (4), we get
Example 3
Evaluate
Solution :
Example 4
Evaluate
Solution :
using rules 1, 2 and applying standard results (1), (2), we get
Example 5
Evaluate
Solution :
using (22), with a^{2} = 49, we get
Example 6
Solution :
applying (24), we get
Example 7
Evaluate
Solution :
By rule (1) and (2), we have
Using standard results (1), (4), (13) and (11) respectively, you find
Example 9
Integrate w. r. to x. the following
Solution :
Using (1), (3), (4), (5) and again (1) respectively we get
Example 10
Integrate w. r. to. x, the following
Solution :
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