Chapter 5: Q 44. (page 452)
Find the integral.
Short Answer
Answer is
Chapter 5: Q 44. (page 452)
Find the integral.
Answer is
All the tools & learning materials you need for study success - in one app.
Get started for freeWhich 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.
role="math" localid="1648759296940"
Explain why it makes sense to try the trigonometric substitution if an integrand involves the expression
Complete the square for each quadratic in Exercises 28–33. Then describe the trigonometric substitution that would be appropriate if you were solving an integral that involved that quadratic.
Show that if , then , in the following two ways: (a) by using implicit differentiation, thinking of as a function of , and (b) by thinking of as a function of .
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
What do you think about this solution?
We value your feedback to improve our textbook solutions.