Chapter 5: Q.3TF (page 432)
In 1TF and 2TF set up the definite integral of the volume of the solid. Both the volume should be the same. Verify that this is the case for the previous two-volume calculations.
Short Answer
Both volumes are the same.
Chapter 5: Q.3TF (page 432)
In 1TF and 2TF set up the definite integral of the volume of the solid. Both the volume should be the same. Verify that this is the case for the previous two-volume calculations.
Both volumes are the same.
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Get started for freeExplain why, if , then . Your explanation should include a discussion of domains and absolute values.
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.)
Solve the integral:
Explain why, if , then . Your explanation should include a discussion of domains and absolute values.
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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