Use the result to set-up an integral. The command yields the answer Simplify 21/2. Again, note that the set-up of the problem using a definite integral is too intricate for the free Add-In to evaluate in a single line. yields a more pleasing looking set-up. Unfortunately, the simplification under the Simplify radical is needed before the introduction of an integral command. The output is: Example 3. Find the surface area generated by revolving the curve about the The curve is y-axis. , , [10, p. 749]. Consider: and gives the outputs: Simplify Factor Cut and paste the previous output and multiply by x. Unfortunately, the output is not simplified. Some college algebra by the students will consider the input: The integral will be evaluated after pressing Note that the substitution is done to give Simplify. u the surface area as 14/9. ) The math add-in would have considered an indefinite integral. Consider the following as an input:
Use the result to set-up an integral. The Simplify command yields the answer 21/2. Again, note that the set-up of the problem using a definite integral is too intricate for the free Add-In to evaluate in a single line. Simplify yields a more pleasing looking set-up. Unfortunately, the simplification under the radical is needed before the introduction of an integral command. The output is: Example 3. Find the surface area generated by revolving the curve about the y-axis. The curve is , , [10, p. 749]. Consider: Simplify and Factor gives the outputs: Cut and paste the previous output and multiply by x. Unfortunately, the output is not simplified. Some college algebra by the students will consider the input: The integral will be evaluated after pressing Simplify. Note that the u substitution is done to give the surface area as 14/9. ) The math add-in would have considered an indefinite integral. Consider the following as an input:
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