What is the integral from 4 to e^5 of 1/x ?

The integral from 4 to e^5 of 1/x is 5-2ln(2)

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integral from 4 to e^5 of 1/x

\int_{4}^{e^{5}} \frac{1}{x} d x

5 - 2 ln (2)

Decimal Notation

3.61370 \dots

Solution steps

\int_{4}^{e^{5}} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{4}^{e^{5}}

Compute the boundaries:

5 - 2 ln (2)

= 5 - 2 ln (2)

\frac{d ^{3}}{d x ^{3}} (\frac{1}{1 + x})

y = \frac{4 x}{e ^{x}}

\int_{- 1}^{x^{3}} t^{5} d t

\int 3 tan^{2} (x) sec^{2} (x) d x

\frac{\partial}{\partial x} (\frac{x y}{4 x + 3 y})

What is the integral from 4 to e^5 of 1/x ?
The integral from 4 to e^5 of 1/x is 5-2ln(2)