The value of ∫log x dx, is∫log x dx का मान है
∫log x dx का मान है
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Correct answer: (C) x(log x − 1) + cx(log x − 1) + c
Explanation
Integrate by parts with u = log x, dv = dx: ∫log x dx = x log x − ∫x · (1/x) dx = x log x − x + c = x(log x − 1) + c.u = log x, dv = dx लेकर खण्डशः समाकलन करने पर ∫log x dx = x log x − ∫x · (1/x) dx = x log x − x + c = x(log x − 1) + c।