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