What is the integral from 1 to 10 of 1/x ?

The integral from 1 to 10 of 1/x is ln(10)

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integral from 1 to 10 of 1/x

\int_{1}^{10} \frac{1}{x} d x

ln (10)

Decimal Notation

2.30258 \dots

Solution steps

\int_{1}^{10} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{10}

Compute the boundaries:

ln (10)

= ln (10)

- arctan (x)

\int \frac{x e ^{5 x}}{( 5 x + 1 ) ^{2}} d x

x \to 0 lim (e^{\frac{∣ x ∣}{x}})

cos^{2} (x)

(x^{2} - y^{2}) (\frac{d y}{d x}) = 2 x y

What is the integral from 1 to 10 of 1/x ?
The integral from 1 to 10 of 1/x is ln(10)