What is the integral of 4+5x^{2/3} ?

The integral of 4+5x^{2/3} is 4x+3x^{5/3}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4+5x^{2/3}

\int 4 + 5 x^{\frac{2}{3}} d x

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

Solution steps

\int 4 + 5 x^{\frac{2}{3}} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 4 d x + \int 5 x^{\frac{2}{3}} d x

\int 4 d x = 4 x

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

= 4 x + 3 x^{\frac{5}{3}}

Add a constant to the solution

= 4 x + 3 x^{\frac{5}{3}} + C

\int 4 x^{3} x^{4} + 7 d x

\int cos^{2} (x) + sin (x) cos (x) d x

\int \frac{3 x}{4} d x

\int e^{- s t} cosh (a t) d t

What is the integral of 4+5x^{2/3} ?
The integral of 4+5x^{2/3} is 4x+3x^{5/3}+C