What is the integral of \sqrt[4]{x^3}+\sqrt[3]{x^8} ?

The integral of \sqrt[4]{x^3}+\sqrt[3]{x^8} is 4/7 x^{7/4}+3/11 x^{11/3}+C

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integral of \sqrt[4]{x^3}+\sqrt[3]{x^8}

\frac{4}{7} x^{\frac{7}{4}} + \frac{3}{11} x^{\frac{11}{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

= \frac{4}{7} x^{\frac{7}{4}} + \frac{3}{11} x^{\frac{11}{3}}

Add a constant to the solution

= \frac{4}{7} x^{\frac{7}{4}} + \frac{3}{11} x^{\frac{11}{3}} + C

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What is the integral of \sqrt[4]{x^3}+\sqrt[3]{x^8} ?
The integral of \sqrt[4]{x^3}+\sqrt[3]{x^8} is 4/7 x^{7/4}+3/11 x^{11/3}+C