What is the integral from 1 to 7 of (4/x) ?

The integral from 1 to 7 of (4/x) is 4ln(7)

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integral from 1 to 7 of (4/x)

\int_{1}^{7} (\frac{4}{x}) d x

4 ln (7)

Decimal Notation

7.78364 \dots

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 4 [ln ∣ x ∣]_{1}^{7}

Compute the boundaries:

ln (7)

= 4 ln (7)

\int_{2}^{6} \frac{1}{5} x^{2} d x

\int_{0}^{5} x^{2} - 3 x - 4 d x

\int_{1}^{3} 3 x^{2} - 2 x + 1 d x

\int_{- 1}^{1} \frac{x ^{3}}{x ^{2} + 1} d x

\int_{0}^{0.4} 2 (1 - x) d x

What is the integral from 1 to 7 of (4/x) ?
The integral from 1 to 7 of (4/x) is 4ln(7)