What is the integral of-2/t ?

The integral of-2/t is -2ln|t|+C

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integral of-2/t

\int - \frac{2}{t} d t

- 2 ln ∣ t ∣ + C

Solution steps

\int - \frac{2}{t} d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 2 \cdot \int \frac{1}{t} d t

Use the common integral:

\int \frac{1}{t} d t = ln (∣ t ∣)

= - 2 ln ∣ t ∣

Add a constant to the solution

= - 2 ln ∣ t ∣ + C

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