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Popular >

integral of 1/(t-2)

Solution

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

Solution

ln ∣ t - 2 ∣ + C

Solution steps

\int \frac{1}{t - 2} 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 - 2

= ln ∣ t - 2 ∣

Add a constant to the solution

= ln ∣ t - 2 ∣ + C

Popular Examples

integral of (3x^3)/(sqrt(4-x^2))

\int \frac{3 x ^{3}}{4 - x ^{2}} d x

integral of 1/(x^n)

\int \frac{1}{x ^{n}} d x

integral of t^3e^{-2t}

\int t^{3} e^{- 2 t} d t

derivative of piln(e)

\frac{d}{d x} (π ln (e))

integral of arccot(y)

\int arccot (y) d y

Frequently Asked Questions (FAQ)

What is the integral of 1/(t-2) ?
The integral of 1/(t-2) is ln|t-2|+C