What is the integral from 2 to 5 of 4/x ?

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

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integral from 2 to 5 of 4/x

\int_{2}^{5} \frac{4}{x} d x

4 (ln (5) - ln (2))

Decimal Notation

3.66516 \dots

Solution steps

\int_{2}^{5} \frac{4}{x} d x

Take the constant out:

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

= 4 \cdot \int_{2}^{5} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 4 [ln ∣ x ∣]_{2}^{5}

Compute the boundaries:

ln (5) - ln (2)

= 4 (ln (5) - ln (2))

120 + x^{3}

\int 4 x^{- 5} + 6 x^{- 1} - 1 d x

\int (3 cos (x) + 7 sin (x)) d x

\frac{d}{d x} (sin (4 x))

\frac{\partial}{\partial u} (u)

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