(a) Use trigonometric substitution to show that y dx sx 2 1 a2 ln(x 1 sx 2 1 a2 ) 1 C

Chapter 7, Problem 31

(choose chapter or problem)

(a) Use trigonometric substitution to show that y dx sx 2 1 a2 ln(x 1 sx 2 1 a2 ) 1 C (b) Use the hyperbolic substitution x a sinh t to show that y dx sx 2 1 a2 sinh21 S x a D 1 C These formulas are connected by Formula 3.11.3.

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