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

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

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integral from 1 to 2 of 2/x

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

2 ln (2)

Decimal

1.38629 \dots

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 2 [ln ∣ x ∣]_{1}^{2}

Compute the boundaries:

ln (2)

= 2 ln (2)

\int \frac{- 2}{x} d x

\frac{15 + 5 5}{12} a^{3}

(1 + x^{2}) y^{^{''}} = 2 x (y^{^{'}})^{2}

y^{^{'}} + \frac{1.93}{293 + t} \cdot y = 2.7249

\frac{\partial}{\partial x} (\frac{7 x - 5 y}{7 x + 5 y})

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