What is the integral of sqrt(x)+1/(\sqrt[3]{x)} ?

The integral of sqrt(x)+1/(\sqrt[3]{x)} is 2/3 x^{3/2}+3/2 x^{2/3}+C

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integral of sqrt(x)+1/(\sqrt[3]{x)}

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

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

Add a constant to the solution

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

m y d x = n x d y

\int_{0}^{1} \frac{1}{4 + x ^{2}} d x

x \to 0 lim ((\frac{1}{x} + 1)^{x})

p (x) = 0.7 x + 20, p (x) = \frac{547.8}{x + 15}

\frac{5}{s ^{2} + 3 s + 2}

What is the integral of sqrt(x)+1/(\sqrt[3]{x)} ?
The integral of sqrt(x)+1/(\sqrt[3]{x)} is 2/3 x^{3/2}+3/2 x^{2/3}+C