Evaluate x 2 + 16 dx using trigonometric substitution. Then use Exercise 31 to verify that

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Evaluate ∫ √x²+ 16 dx using trigonometric substitution. Then use Exercise 31 to verify that your answer agrees with the answer in Example 3.

EXAMPLE 3 Hyperbolic Substitution Calculate x +16dx.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 25, 2023 08:29 AM

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Evaluate x 2 + 16 dx using trigonometric substitution. Then use Exercise 31 to verify that

Question:

EXAMPLE 3 Hyperbolic Substitution Calculate •√ √x² +16dx.

Step by Step Answer:

Let x 4 tan 9 Then dx 4 sec 0 de and x 16 dx 16 sec 0 de 8 tan 0 sec 0 8 ...View the full answer

Calculus

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