en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x^{-1/4}

Solution

\int x^{- \frac{1}{4}} d x

Solution

\frac{4}{3} x^{\frac{3}{4}} + C

Solution steps

\int x^{- \frac{1}{4}} d x

Apply the Power Rule

= \frac{4}{3} x^{\frac{3}{4}}

Add a constant to the solution

= \frac{4}{3} x^{\frac{3}{4}} + C

Graph

Popular Examples

(dy)/(dx)=8x^3y-8xy

\frac{d y}{d x} = 8 x^{3} y - 8 x y

integral of xsqrt(2x)

\int x 2 x d x

integral of x(x+7)^{-3/2}

\int x (x + 7)^{- \frac{3}{2}} d x

integral from-2 to 3 of 2/(x^4)

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

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

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

Frequently Asked Questions (FAQ)

What is the integral of x^{-1/4} ?
The integral of x^{-1/4} is 4/3 x^{3/4}+C