en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5x^{2/3}

Solution

\int 5 x^{\frac{2}{3}} d x

Solution

3 x^{\frac{5}{3}} + C

Solution steps

\int 5 x^{\frac{2}{3}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int x^{\frac{2}{3}} d x

Apply the Power Rule

: \frac{3}{5} x^{\frac{5}{3}}

= 5 \cdot \frac{3}{5} x^{\frac{5}{3}}

Simplify

5 \cdot \frac{3}{5} x^{\frac{5}{3}} : 3 x^{\frac{5}{3}}

= 3 x^{\frac{5}{3}}

Add a constant to the solution

= 3 x^{\frac{5}{3}} + C

Popular Examples

tangent of y=6x^2-x^3,(1,5)tangent of

y = 6 x^{2} - x^{3}, (1, 5)

sum from n=0 to infinity of 1/(1!)

n = 0 \sum \infty \frac{1}{1 !}

integral of 5^{x+2}

\int 5^{x + 2} d x

derivative of (x^3+3^2)

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

slope of (1,3),(3,-2)slope

(1, 3), (3, - 2)

Frequently Asked Questions (FAQ)

What is the integral of 5x^{2/3} ?
The integral of 5x^{2/3} is 3x^{5/3}+C