Monday, 15 April 2013

Find the indefinite integral

Given
,

By applying Integration by
parts we can solve the given integral

so,

let
sqrt(1-x^2) ,v' = (1/x^4)

=>


=> =

let


so,

=
(sqrt(t))

=        [as
(dt)/dx


=


=

so,  and as 
so

=


=

=

=

 

so , let us see the values
altogether.

and
,v=-(1/(3x^3))

 

Now ,by applying the integration by
parts is given as

 


then,

=
(-(1/(3x^3))) - int (-x/sqrt(1-x^2))(-(1/(3x^3))) dx

=
(-(1/(3x^3))) -(-...

No comments:

Post a Comment

To what degree were the U.S., Great Britain, Germany, the USSR, and Japan successful in regards to their efforts in economic mobilization during the...

This is an enormous question that can't really be answered fully in this small space. But a few generalizations can be made. Bo...