Integration by Parts In Exercises 5-16, use integration by parts to find the indefinite integral, See Examples 1, 2, 3, and 4.
To calculate: The value of indefinite integral
Given Information:
The provided indefinite integral is
Formula used:
The integration by parts
Where,
Calculation:
Consider the indefinite integral
Here,
First find
On further solving,
Now find
Differentiate both side with respect
And,
Apply integration by parts formula and substitute equation (1) and (2) in
Use integration by parts on the second integral
Here,
First find
On further solving,
Now find
Differentiate both sides with respect
And,
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