Evaluate the following integrals:
To Find :
Now, let x + 1 be written as - (-2x - 1) and split
Therefore ,
=
= +
Now solving,
Let = u dx =
Thus,becomes
Now , = = ) =
=
Now solving,
can be written as
i.e,
let = y dx = dy
Therefore , becomes
Formula Used: = + + C
Since is of the form with change in variable .
Hence, = + + C
= + + C
Since , = y and dx = dy
Therefore,
= + + C
i.e, = + + C
hence ,
= + = + + + C