Chapter 5: Q 5. (page 495)
Use Pythagorean identities to rewrite each of the following trigonometric expressions.
Short Answer
The result is.
Chapter 5: Q 5. (page 495)
Use Pythagorean identities to rewrite each of the following trigonometric expressions.
The result is.
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Get started for freeComplete 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.
Why donโt we need to have a square root involved in order to apply trigonometric substitution with the tangent? In other words, why can we use the substitution when we see , even though we canโt use the substitution unless the integrand involves the square root of? (Hint: Think about domains.)
For each function u(x) in Exercises 9โ12, write the differential du in terms of the differential dx.
Solve given definite integrals.
Solve the integral:
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