Hints for the proof
Writing
and
-
, we can obtain the proof
as respectively and
using
Hint; Put x= a SecƟ
Put x=atan Ɵ
Put x=atanƟ
INTEGRALS OF RATIONAL FUNCTION
INTEGRAL OF THE TYPE
, a≠0
Proof;
put x +
and write
to reduce the integral to the form
and obtain the proof
INTEGRAL OF THE TYPE
, Proceeding as above, we can solve integrals of this type.
= log
Problem :
Solution:
PROBLEMS
INTEGRAL OF THE TYPE
, Proceeding as above, we can solve integrals of this type.
EXAMPLES OF SOME SPECIAL TYPE OF INTEGRALS
Example 1:
Solution:
=
=
=
=
=
Problem 2:
Solution:
ASSIGNMENT