What is the integral from 0 to t of 1/t ?

The integral from 0 to t of 1/t is diverges

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integral from 0 to t of 1/t

\int_{0}^{t} \frac{1}{t} d t

diverges

Solution steps

\int_{0}^{t} \frac{1}{t} d t

Use the common integral:

\int \frac{1}{t} d t = ln (∣ t ∣)

= [ln ∣ t ∣]_{0}^{t}

Compute the boundaries:

diverges

= diverges

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What is the integral from 0 to t of 1/t ?
The integral from 0 to t of 1/t is diverges