Question: (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)

(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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