en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^{-6/5}

Solution

\int x^{- \frac{6}{5}} d x

Solution

- \frac{5}{x ^{\frac{1}{5}}} + C

Solution steps

\int x^{- \frac{6}{5}} d x

Apply the Power Rule

: - \frac{5}{x ^{\frac{1}{5}}}

= - \frac{5}{x ^{\frac{1}{5}}}

Add a constant to the solution

= - \frac{5}{x ^{\frac{1}{5}}} + C

Popular Examples

integral of 1/2 x+2

\int \frac{1}{2} x + 2 d x

integral of 6/((x-9)(x-3))

\int \frac{6}{( x - 9 ) ( x - 3 )} d x

integral of (x+1)^{-1/2}-pi*cos(pix)

\int (x + 1)^{- \frac{1}{2}} - π \cdot cos (π x) d x

integral of (2x+1)/(2x^2+3x-2)

\int \frac{2 x + 1}{2 x ^{2} + 3 x - 2} d x

integral of 21e^{9ln(x)}

\int 21 e^{9 l n (x)} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{-6/5} ?
The integral of x^{-6/5} is -5/(x^{1/5)}+C