en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of t^{-1}

Solution

\int t^{- 1} d t

Solution

ln ∣ t ∣ + C

Solution steps

\int t^{- 1} d t

Use the common integral:

\int t^{- 1} d t = ln (∣ t ∣)

= ln ∣ t ∣

Add a constant to the solution

= ln ∣ t ∣ + C

Popular Examples

integral of (4sqrt(x)-4/(sqrt(x)))

\int (4 x - \frac{4}{x}) d x

derivative of x^3(x-8)^2 derivative of

x^{3} (x - 8)^{2}

tangent of y=(36)/(x^2+2),(1,12)tangent of

y = \frac{36}{x ^{2} + 2}, (1, 12)

(\partial)/(\partial x)((ax-5)/(-y^2+1))

\frac{\partial}{\partial x} (\frac{a x - 5}{- y ^{2} + 1})

limit as x approaches 0+of arctan(x)

x \to 0 + lim (arctan (x))

Frequently Asked Questions (FAQ)

What is the integral of t^{-1} ?
The integral of t^{-1} is ln|t|+C