What is the integral of ((sqrt(x)+1))/(\sqrt[4]{x)} ?

The integral of ((sqrt(x)+1))/(\sqrt[4]{x)} is 4/5 x^{5/4}+4/3 x^{3/4}+C

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integral of ((sqrt(x)+1))/(\sqrt[4]{x)}

\frac{4}{5} x^{\frac{5}{4}} + \frac{4}{3} x^{\frac{3}{4}} + C

Solution steps

Expand

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}{5} x^{\frac{5}{4}} + \frac{4}{3} x^{\frac{3}{4}}

Add a constant to the solution

= \frac{4}{5} x^{\frac{5}{4}} + \frac{4}{3} x^{\frac{3}{4}} + C

What is the integral of ((sqrt(x)+1))/(\sqrt[4]{x)} ?
The integral of ((sqrt(x)+1))/(\sqrt[4]{x)} is 4/5 x^{5/4}+4/3 x^{3/4}+C