# What is the definite integral from 1 to 2 of #(ln x)/xdx#?

0,24

We may use the substitution technique of integration and let u = ln x.

Then du = 1/x dx.

We then change the limits of integration to the new values in terms of u.

Then perform the integration and use the Fundamental Theorem of Calculus to evaluate the answer between the necessary limits.

Details shown in the attached sketch.

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The definite integral from 1 to 2 of (ln x)/x dx is approximately equal to 0.30688.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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