What is the integral of (sqrt(x))/(\sqrt[7]{x^3)} ?

The integral of (sqrt(x))/(\sqrt[7]{x^3)} is 14/15 x^{15/14}+C

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integral of (sqrt(x))/(\sqrt[7]{x^3)}

\frac{14}{15} x^{\frac{15}{14}} + C

Solution steps

assuming

x \geq 0

= \int \frac{x}{x ^{\frac{3}{7}}} d x

Simplify

Apply the Power Rule

: \frac{14}{15} x^{\frac{15}{14}}

= \frac{14}{15} x^{\frac{15}{14}}

Add a constant to the solution

= \frac{14}{15} x^{\frac{15}{14}} + C

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What is the integral of (sqrt(x))/(\sqrt[7]{x^3)} ?
The integral of (sqrt(x))/(\sqrt[7]{x^3)} is 14/15 x^{15/14}+C