Evaluate x 2 9 dx in two ways: using trigonometric substitution and using hyperbolic substitution.

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Evaluate ∫ √x− 9 dx in two ways: using trigonometric substitution and using hyperbolic substitution. Then use Exercise 31 to verify that the two answers agree.


Data From Exercise 31

Verify the formulas sinh-1 x = ln|x + Vx2 +1| cosh x = ln x + x  1| - (for x  1)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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