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