What is the integral from 1 to 5 of 3/x ?

The integral from 1 to 5 of 3/x is 3ln(5)

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integral from 1 to 5 of 3/x

\int_{1}^{5} \frac{3}{x} d x

3 ln (5)

Decimal Notation

4.82831 \dots

Solution steps

\int_{1}^{5} \frac{3}{x} d x

Take the constant out:

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

= 3 \cdot \int_{1}^{5} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 3 [ln ∣ x ∣]_{1}^{5}

Compute the boundaries:

ln (5)

= 3 ln (5)

\int 5 t sin^{2} (t) d t

\frac{d}{d y} (\frac{1}{y ^{2}})

\int_{0}^{1} x + 1 d x

- csc (x) - cos (x)

x \to 2 lim (h (x))

What is the integral from 1 to 5 of 3/x ?
The integral from 1 to 5 of 3/x is 3ln(5)