What is the integral from 2 to 4 of 3/x ?

The integral from 2 to 4 of 3/x is 3ln(2)

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integral from 2 to 4 of 3/x

\int_{2}^{4} \frac{3}{x} d x

3 ln (2)

Decimal Notation

2.07944 \dots

Solution steps

\int_{2}^{4} \frac{3}{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{2}^{4} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 3 [ln ∣ x ∣]_{2}^{4}

Compute the boundaries:

ln (2)

= 3 ln (2)

\frac{\partial}{\partial x} (2 y sin (x) + e^{2 z})

x \to 0 - lim (e^{- \frac{7}{x}})

\int - \frac{1}{2 x x ^{2} + 9} d x

e^{x^{5}} + lo g_{4} (π)

n \to \infty lim (\frac{a}{n})

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