What is the integral from 2 to e^4 of 1/x ?

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

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integral from 2 to e^4 of 1/x

\int_{2}^{e^{4}} \frac{1}{x} d x

4 - ln (2)

Decimal

3.30685 \dots

Solution steps

\int_{2}^{e^{4}} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{2}^{e^{4}}

Compute the boundaries:

4 - ln (2)

= 4 - ln (2)

\frac{4}{s ^{4}}

\int x^{7} e^{3 x^{4}} d x

\frac{t - t}{t ^{\frac{1}{9}}}

\frac{d}{d x} (2 x^{4} - 6 x^{3} - 12 x - 8)

n = 5 \sum \infty \frac{1}{n ( n - 1 )}

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