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Popular >

integral of 1/(T-70)

Solution

\int \frac{1}{T - 70} d T

Solution

ln ∣ T - 70 ∣ + C

Solution steps

\int \frac{1}{T - 70} d T

Apply u-substitution

: \int \frac{1}{u} d u

= \int \frac{1}{u} d u

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= ln ∣ u ∣

Substitute back

u = T - 70

= ln ∣ T - 70 ∣

Add a constant to the solution

= ln ∣ T - 70 ∣ + C

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Frequently Asked Questions (FAQ)

What is the integral of 1/(T-70) ?
The integral of 1/(T-70) is ln|T-70|+C