What is the integral of (sqrt(x^3)+\sqrt[3]{x^2}) ?

The integral of (sqrt(x^3)+\sqrt[3]{x^2}) is 2/5 x^{5/2}+3/5 x^{5/3}+C

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integral of (sqrt(x^3)+\sqrt[3]{x^2})

\frac{2}{5} x^{\frac{5}{2}} + \frac{3}{5} x^{\frac{5}{3}} + C

Solution steps

Apply the Sum Rule:

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

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

= \frac{2}{5} x^{\frac{5}{2}} + \frac{3}{5} x^{\frac{5}{3}}

Add a constant to the solution

= \frac{2}{5} x^{\frac{5}{2}} + \frac{3}{5} x^{\frac{5}{3}} + C

\int \frac{( ln ( x ) ) ^{15}}{x} d x

y = x^{3} - 2 x^{2} + 5

n \to \infty lim (k = 1 \sum n (4 + \frac{3 k}{n})^{2} (\frac{3}{n}))

12 - 4 e^{x}

\frac{\partial}{\partial x} (x^{x^{2} y})

What is the integral of (sqrt(x^3)+\sqrt[3]{x^2}) ?
The integral of (sqrt(x^3)+\sqrt[3]{x^2}) is 2/5 x^{5/2}+3/5 x^{5/3}+C