Calculus - Integrals

∫1/x dx

Step-by-step solution with detailed explanations

Final Answer

ln|x| + C

Step-by-Step Solution

1

Special case

Power rule doesn't work for x⁻¹

2

Result

ln|x| + C

Expert Insights

Exception: n=-1 is special case of power rule
Absolute value: |x| because ln only defined for positive

Pro Tip: ∫x⁻¹ dx = ln|x| + C (exception to power rule)

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