Problem U5 25 | The integral of sqrt(9 - x^2) / x^2

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This kind of integral solves easily when a trigonometric substitution is used.
The correct trig substitution - usually, sin(y), cos(y) tan(y) or sec(y) - depends on the nature of the integrant. This is discussed in this solution process, and in other similar integrals in this series U5-22 to U5-29.
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The final answer is negative sqrt 9-x^2/x minus arcsine(x/3)+C.

CK