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

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

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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

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