What is the integral from 1 to 7 of 5/x ?

The integral from 1 to 7 of 5/x is 5ln(7)

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integral from 1 to 7 of 5/x

\int_{1}^{7} \frac{5}{x} d x

5 ln (7)

Decimal Notation

9.72955 \dots

Solution steps

\int_{1}^{7} \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}^{7} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 5 [ln ∣ x ∣]_{1}^{7}

Compute the boundaries:

ln (7)

= 5 ln (7)

x = y^{2} + 6 y, y = x

n = 0 \sum \infty x^{n + 5}

x \to 4 + lim (\frac{7}{x - 4})

f (x) = 1 + x

\frac{1}{x}, \frac{1}{x ^{2}}, 2

What is the integral from 1 to 7 of 5/x ?
The integral from 1 to 7 of 5/x is 5ln(7)