(a) Use trigonometric substitution to show that dx/(x2+a2) = ln(x+(x2+a2) + C (b) Use the hyperbolic...

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(a) Use trigonometric substitution to show that
∫ dx/√(x2+a2) = ln(x+√(x2+a2) + C
(b) Use the hyperbolic substitution to show that
∫ dx/√(x2 + a2) = sinh-1(x/a) + C
These formulas are connected by formula 3.11.3.

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Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

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Question Posted: Mar 04, 2016 07:05 AM

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(a) Use trigonometric substitution to show that dx/(x2+a2) = ln(x+(x2+a2) + C (b) Use the hyperbolic...

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a Let x a tan where 2 2 Then x 2 a 2 a sec and dx x 2 a 2 asec ...View the full answer

Calculus Early Transcendentals

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