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  • Integrals of Some Particular Function

  • Examples

  • Assignments

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Hints for the proof

Writing

and

-

, we can obtain the proof

as respectively and

using

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  • Hint; Put x= a tanƟ

Hint; Put x= a SecƟ

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Put x=atan Ɵ

Put x=atanƟ

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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

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INTEGRAL OF THE TYPE

, Proceeding as above, we can solve integrals of this type.

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= log

Problem :

Solution:

PROBLEMS

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INTEGRAL OF THE TYPE

, Proceeding as above, we can solve integrals of this type.

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EXAMPLES OF SOME SPECIAL TYPE OF INTEGRALS

Example 1:

Solution:

=

=

=

=

=

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Problem 2:

Solution:

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ASSIGNMENT