What is the integral from 1 to 3 of 2/x ?

The integral from 1 to 3 of 2/x is 2ln(3)

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integral from 1 to 3 of 2/x

\int_{1}^{3} \frac{2}{x} d x

2 ln (3)

Decimal Notation

2.19722 \dots

Solution steps

\int_{1}^{3} \frac{2}{x} d x

Take the constant out:

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

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 2 [ln ∣ x ∣]_{1}^{3}

Compute the boundaries:

ln (3)

= 2 ln (3)

(7 - x^{3})^{- 1} (x^{2} - 1)^{\frac{2}{3}}

\frac{d}{d x} (20 e^{- 4 x} cos (50 x))

\frac{\partial}{\partial x} (x y^{2} - 2 x y - 2 x^{2} - 3 x)

\frac{d y}{d x} = y^{2} e^{- 2 x}

\frac{d}{d x} (\frac{5}{2} x^{- 2})

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