Math 2 CHAPTER 1 : INTEGRATION TECHNIQUIES PART (4)

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Presentation transcript:

Math 2 CHAPTER 1 : INTEGRATION TECHNIQUIES PART (4) By Asst.Prof.Dr.Eman Saad Fahmy

REFERENCES

TRIGONOMETRIC TECHNIQUES OF INTEGRATION

Trigonometric Substitution: The idea behind the trigonometric substitution is quite simple: to replace expressions involving square roots with expressions that involve standard trigonometric functions, but no square roots. Integrals involving trigonometric functions are often easier to solve then integrals involving square roots. We summarize the three trigonometric substitutions in the following table.

Exercise:

INDETERMINATE FORMS AND L’Hˆ OPITAL’S RULE

three-step process:

Exercise: Find the following limits:

Thanks