Lesson Worksheet: Integration by Trigonometric Substitutions Mathematics
In this worksheet, we will practice using trigonometric substitutions to evaluate integrals containing radicals of the form √(x² ± a²).
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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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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