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Step-by-step Solution

Integral of (e(9x)^(1/3))/(x^(2/3))

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ln
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csc

asin
acos
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sinh
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asinh
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Answer

$8.4814\sqrt[3]{x^{2}}+C_0$

Step-by-step explanation

Problem to solve:

$\int\frac{e\sqrt[3]{9x}}{x^{\frac{2}{3}}}dx$
1

The power of a product is equal to the product of it's factors raised to the same power

$\int\frac{\sqrt{31}\sqrt[3]{x}}{\sqrt[3]{x^{2}}}dx$
2

Simplifying the fraction by $x$

$\int\sqrt{31}x^{-\frac{1}{3}}dx$

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Answer

$8.4814\sqrt[3]{x^{2}}+C_0$
$\int\frac{e\sqrt[3]{9x}}{x^{\frac{2}{3}}}dx$

Main topic:

Integral calculus

Used formulas:

1. See formulas

Time to solve it:

~ 1.36 seconds

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