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

The integral from 1 to e of (1/x) is 1

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integral from 1 to e of (1/x)

\int_{1}^{e} (\frac{1}{x}) d x

1

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{e}

Compute the boundaries:

1

= 1

\frac{d}{d x} (4 e^{- 4 x})

\int 3 (2 t + 5)^{3} d t

\frac{d}{d x} (arctan (ln (2 x + 1)))

\int \frac{( 82 x + 8 )}{( 9 x + 1 ) ( x - 1 )} d x

y^{^{'}} + 2 y = 4 t, y (0) = 3

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