What is the integral of-2/t ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

\int \frac{1}{π x ( 1 - x )} d x

\frac{d}{d x} (cos (2 - 7 x))

d er i v a t i v e f (x) = (2 x - 8)^{4} (x^{2} + x + 1)^{5}

\int_{0}^{\infty} t e^{- s t} d t

\int_{0}^{3} e^{x} sin (x) d x