What is the integral from 1 to 5 of 5/x ?

The integral from 1 to 5 of 5/x is 5ln(5)

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integral from 1 to 5 of 5/x

\int_{1}^{5} \frac{5}{x} d x

5 ln (5)

Decimal Notation

8.04718 \dots

Solution steps

\int_{1}^{5} \frac{5}{x} d x

Take the constant out:

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

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 5 [ln ∣ x ∣]_{1}^{5}

Compute the boundaries:

ln (5)

= 5 ln (5)

\frac{3}{4 x + 6} + 4 x^{2}

\int (20 x + 7) d x

x \to 2 lim (\frac{4 - x ^{2}}{x + 2})

f (x) = 2 x^{2} + 10 x + 9, at x = - 3

\frac{( s + 5 )}{( s + 6 ) ( s + 10 )}

What is the integral from 1 to 5 of 5/x ?
The integral from 1 to 5 of 5/x is 5ln(5)