In this question, we have to find the Integration of the given function
The basic concept behind this question is the knowledge of derivatives, integration, and the rules such as the product and quotient integration rules.
Expert Answer
Given function we have:
First, divide
Canceling
We know that here
We also know that:
Putting these in our equation, we will have:
Now let us suppose:
After putting the value of
Integrating the power of
Now we will simplify the exponential equation as follows:
From the second law of logarithm:
Take log on both sides of the equation:
We know that:
Using integration by parts:
Putting the initial condition:
Substituting the value of
Numerical Result
Example
Integrate the following function:
Solution:
We know that