Chapter 5: Q 15. (page 495)
Fill in the blanks to complete each of the following integration formulas.
Short Answer
The result is.
Chapter 5: Q 15. (page 495)
Fill in the blanks to complete each of the following integration formulas.
The result is.
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Get started for freeExplain how to use long division to write the improper fraction as the sum of an integer and a proper fraction.
Consider the integral .
(a) Solve this integral by using u-substitution.
(b) Solve the integral another way, using algebra to multiply out the integrand first.
(c) How must your two answers be related? Use algebra to prove this relationship.
Which of the integrals that follow would be good candidates for trigonometric substitution? If a trigonometric substitution is a good strategy, name the substitution. If another method is a better strategy, explain that method.
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Solve the integral:
Why is it okay to use a triangle without thinking about the unit circle when simplifying expressions that result from a trigonometric substitution withor ? Why do we need to think about the unit circle after trigonometric substitution with ?
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