What is the integral of (\sqrt[8]{x}+\sqrt[9]{x}) ?

The integral of (\sqrt[8]{x}+\sqrt[9]{x}) is 8/9 x^{9/8}+9/10 x^{10/9}+C

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integral of (\sqrt[8]{x}+\sqrt[9]{x})

\frac{8}{9} x^{\frac{9}{8}} + \frac{9}{10} x^{\frac{10}{9}} + 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{8}{9} x^{\frac{9}{8}} + \frac{9}{10} x^{\frac{10}{9}}

Add a constant to the solution

= \frac{8}{9} x^{\frac{9}{8}} + \frac{9}{10} x^{\frac{10}{9}} + C

n = 0 \sum \infty \frac{n + 1}{2 ^{n}}

x \to 0 lim (\frac{( 2 x - 1 )}{x})

f (x) = \frac{5}{x ^{5}} + \frac{3}{x ^{2}}

\int 4 sin^{6} (x) cos (x) d x

h \to \frac{1}{2} lim (\frac{8 h ^{3} - 1}{1 - 2 h})

What is the integral of (\sqrt[8]{x}+\sqrt[9]{x}) ?
The integral of (\sqrt[8]{x}+\sqrt[9]{x}) is 8/9 x^{9/8}+9/10 x^{10/9}+C