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in Definite Integrals by (28.8k points)
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The derivative of f(x) = \(\int\limits_{\text x^2}^{\text x^3}\cfrac{1}{log_et}dt, \) (x > 0), is

A. \(\cfrac{1}{3\,In\,\text x}\)

B. \(\cfrac{1}{3\,In\,\text x}\) - \(\cfrac{1}{2\,In\,\text x}\)

C. (In x)-1 x(x -1)

D. \(\cfrac{3\text x^2}{3\,In\,\text x}\)

1 Answer

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by (30.0k points)
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Best answer

Correct option is C. (ln x)–1 x (x – 1)

f’(x) = (ln x) -1 x (x-1)

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