What is the integral from 1 to 6 of 4/x ?

The integral from 1 to 6 of 4/x is 4ln(6)

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integral from 1 to 6 of 4/x

\int_{1}^{6} \frac{4}{x} d x

4 ln (6)

Decimal Notation

7.16703 \dots

Solution steps

\int_{1}^{6} \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_{1}^{6} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 4 [ln ∣ x ∣]_{1}^{6}

Compute the boundaries:

ln (6)

= 4 ln (6)

\int 2 x + 6 d x

\frac{1}{4 ( 1 + x ^{2} )}, \frac{1}{8} x^{2}

n = 0 \sum \infty e^{- 8 n}

(1 - x)^{3} - lo g_{e} (1 - x)

\frac{5 x ^{2}}{3 x - 1}

What is the integral from 1 to 6 of 4/x ?
The integral from 1 to 6 of 4/x is 4ln(6)