What is the integral from 4 to e^3 of 1/x ?

The integral from 4 to e^3 of 1/x is 3-2ln(2)

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integral from 4 to e^3 of 1/x

\int_{4}^{e^{3}} \frac{1}{x} d x

3 - 2 ln (2)

Decimal Notation

1.61370 \dots

Solution steps

\int_{4}^{e^{3}} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{4}^{e^{3}}

Compute the boundaries:

3 - 2 ln (2)

= 3 - 2 ln (2)

\frac{\partial}{\partial y} (cos (x + 4 y))

\int e^{x} sin (x) d x

f (x) = \frac{1}{27} (9 x^{2} + 6)^{\frac{3}{2}}

\int e^{\frac{1}{2} x^{2}} d x

x \to 4 - lim (∣ x - 4 ∣)

What is the integral from 4 to e^3 of 1/x ?
The integral from 4 to e^3 of 1/x is 3-2ln(2)