What is the integral of 1-5/3 x^{2/3} ?

The integral of 1-5/3 x^{2/3} is x-x^{5/3}+C

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integral of 1-5/3 x^{2/3}

\int 1 - \frac{5}{3} x^{\frac{2}{3}} d x

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

Solution steps

\int 1 - \frac{5}{3} 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 1 d x - \int \frac{5}{3} x^{\frac{2}{3}} d x

\int 1 d x = x

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

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

Add a constant to the solution

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

\int_{0}^{\frac{π}{2}} sin (3 x) d x

\frac{d}{d x} (3^{\frac{1}{2}})

n \to \infty lim (e^{- n} ln (n))

\int x + 3 d x

y^{^{'}} = sin (x + y) + cos (x + y)

What is the integral of 1-5/3 x^{2/3} ?
The integral of 1-5/3 x^{2/3} is x-x^{5/3}+C