# Worksheet: Trigonometric Substitutions

Q1:

Use a trigonometric substitution to evaluate .

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Q2:

Use a trigonometric substitution to evaluate , where .

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Q3:

Use a trigonometric substitution to evaluate , where .

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Q4:

Use a trigonometric substitution to evaluate .

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Q5:

Use a trigonometric substitution to evaluate .

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Q6:

Use a trigonometric substitution to evaluate , where .

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Q7:

Use a trigonometric substitution to evaluate .

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Q8:

Use a trigonometric substitution to evaluate .

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Q9:

Use a trigonometric substitution to evaluate .

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Q10:

Use trigonometric substitution to evaluate .

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Q11:

Use a trigonometric substitution to evaluate .

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Q12:

Use a trigonometric substitution to evaluate , where .

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Q13:

Use an appropriate substitution and then a trigonometric one to evaluate .

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Q14:

Use a trigonometric substitution to evaluate .

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Q15:

Use an appropriate substitution followed by a trigonometric one to evaluate .

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Q16:

Use a trigonometric substitution to evaluate , where .

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Q17:

Use a trigonometric substitution to evaluate .

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Q18:

Use a trigonometric substitution to evaluate , where .

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Q19:

Use a trigonometric substitution to evaluate .

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Q20:

Use a trigonometric substitution to evaluate .

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Q21:

Use a trigonometric substitution to evaluate .

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Q22:

Use a trigonometric substitution to evaluate .

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Q23:

Use a trigonometric substitution to evaluate .

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Q24:

Use a trigonometric substitution to evaluate .

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Q25:

Use an appropriate substitution followed by a trigonometric one to evaluate .

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