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Trigonometric Substitutions
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Integration Techniques: (lesson 4 of 4)
Trigonometric Substitutions
Use trigonometric substitution to evaluate integrals involving the radicals,
Case I:
Example 1:
Solution:
Then,
Example 2:
Solution:
Let x = 2 sin θ, dx = 2 cosθ dθ
Case II:
Example 3:
Solution:
Then,
Case III:
Example 4:
Solution:
Then,
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