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

The integral from x to 1 of 1/t is -ln|x|

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integral from x to 1 of 1/t

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

- ln ∣ x ∣

Solution steps

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

Use the common integral:

\int \frac{1}{t} d t = ln (∣ t ∣)

= [ln ∣ t ∣]_{x}^{1}

Compute the boundaries:

- ln ∣ x ∣

= - ln ∣ x ∣

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What is the integral from x to 1 of 1/t ?
The integral from x to 1 of 1/t is -ln|x|