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}^{2} 1 - ∣ x ∣^{3} d x

\int_{3}^{5} \frac{x - 3}{x - 2} d x

\int_{- 3}^{- 1} (x^{2} + x + 7) d x

\int_{0}^{1} \frac{e ^{x} + 2}{e ^{x} + 2 x} d x

\int_{0}^{4} f (t) d t

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