What is the integral of (e^{\sqrt[3]{x}})/(x^{2/3)} ?

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

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integral of (e^{\sqrt[3]{x}})/(x^{2/3)}

Solution steps

Apply u-substitution

= \int 3 e^{u} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= 3 e^{u}

Substitute back

Add a constant to the solution

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