Evaluate the following integrals:

To Find :


Now, let 2x - 5 be written as (2x – 3) -2 and split


Therefore ,


=


= -


Now solving,


Let = u dx =


Thus,becomes


Now , = = ) =


=


Now solving,


can be written as


i.e,


let x – = y dx = dy


Therefore , becomes


Formula Used: = + + C


Since is of the form with change in variable .


Hence, = + + C


= + + C


Since , x – = y and dx = dy


Therefore,


= + + C


i.e, = + + C


hence ,


= - = - - + C


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