We have the given indefinite integral ;
We will use substitution hence to solving this integral
Now , put ;
So that :
Now , putting the values in the integral , it can be written as ;
Now , we will again use substitution method for making the integral easy. So put ;
So that ;
Now , we have ;
Now , putting the value of ulog(u) = v - 2
Now , using partial fraction decomposition , ths given integral can be further written as ;
Now ,as integrals follow distributive property. So ;
Putting value of v ;
Now, putting value of u ;
Used Concepts :-