Chapter 5: Q. 0C (page 451)
Read the section and make your own summary of the material.
Short Answer
The trigonometry identities use to find the sides and angle of the triangle.
Chapter 5: Q. 0C (page 451)
Read the section and make your own summary of the material.
The trigonometry identities use to find the sides and angle of the triangle.
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Get started for freeSolve each of the integrals in Exercises 39โ74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
Consider the integral .
(a) Solve this integral by using u-substitution with and .
(b) Solve the integral another way, using u-substitution with and .
(c) How must your two answers be related? Use algebra to prove this relationship.
Complete the square for each quadratic in Exercises 28โ33. Then describe the trigonometric substitution that would be appropriate if you were solving an integral that involved that quadratic.
Explain why and are essentially the same integral after a change of variables.
Complete the square for each quadratic in Exercises 28โ33. Then describe the trigonometric substitution that would be appropriate if you were solving an integral that involved that quadratic.
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