What is the integral from e to e^2 of (ln(x))/x ?

The integral from e to e^2 of (ln(x))/x is 3/2

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integral from e to e^2 of (ln(x))/x

\int_{e}^{e^{2}} \frac{ln ( x )}{x} d x

\frac{3}{2}

Decimal

1.5

Solution steps

\int_{e}^{e^{2}} \frac{ln ( x )}{x} d x

Apply u-substitution

= \int_{1}^{2} u d u

Apply the Power Rule

= [\frac{u ^{2}}{2}]_{1}^{2}

Compute the boundaries:

\frac{3}{2}

= \frac{3}{2}

What is the integral from e to e^2 of (ln(x))/x ?
The integral from e to e^2 of (ln(x))/x is 3/2