Find the Integral $\int \frac{5 x^{2}-9 x+6}{x^{3}-2 x^{2}+x} d x$ A) $\ln \left|\frac{x^{6}}{x-1}\right|-\frac{1}{x-1}+C$

question 103

Multiple Choice

Find the integral. $\int \frac{5 x^{2}-9 x+6}{x^{3}-2 x^{2}+x} d x$

• A) \(\ln \left|\frac{x^{6}}{x-1}\right|-\frac{1}{x-1}+C\)
• B) \(\ln \left|\frac{x-1}{x^{6}}\right|-\frac{1}{x-1}+C\)
• C) \(\ln \left|\frac{x-1}{x^{6}}\right|-\frac{2}{x-1}+C\)
• D) \(\ln \left|\frac{x^{6}}{x-1}\right|-\frac{2}{x-1}+C\)

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Definitions:

Auxiliary Contacts

Auxiliary contacts are additional contacts used in a relay or contactor that provide a secondary switching function, often used for signaling or interlocking purposes.

Control Circuit

An electrical circuit designed to control the operation of a device, often using lower power levels than the device it controls.

Relay

An electrically operated switch that allows a circuit to be controlled by a low-power signal, or where several circuits must be controlled by one signal.

Contact

An electrical component used to complete or interrupt an electrical circuit.