en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(v^n)

Solution

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

Solution

\frac{v ^{- n + 1}}{- n + 1} + C

Solution steps

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

Apply the Power Rule

: \frac{v ^{- n + 1}}{- n + 1}

= \frac{v ^{- n + 1}}{- n + 1}

Add a constant to the solution

= \frac{v ^{- n + 1}}{- n + 1} + C

Popular Examples

derivative of log_{7}(x^x)

\frac{d}{d x} (lo g_{7} (x^{x}))

integral of (xtan(x))/(cos(x))

\int \frac{x tan ( x )}{cos ( x )} d x

integral of (2e^{2x}+12x^3+4x)

\int (2 e^{2 x} + 12 x^{3} + 4 x) d x

integral of (x^4)/(2-x^5)

\int \frac{x ^{4}}{2 - x ^{5}} d x

(\partial)/(\partial t)(t+sin(t-1))

\frac{\partial}{\partial t} (t + sin (t - 1))

Frequently Asked Questions (FAQ)

What is the integral of 1/(v^n) ?
The integral of 1/(v^n) is (v^{-n+1})/(-n+1)+C