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Step-by-step Solution

Integrate x^(1/4) from 3 to 17

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Answer

$24.4568$

Step-by-step explanation

Problem to solve:

$\int_3^{17}\left(\sqrt[4]{x}\right)dx$
1

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

$\left[\frac{4}{5}\sqrt[4]{x^{5}}\right]_{3}^{17}$
2

Evaluate the definite integral

$0.8\sqrt[4]{\left(17\right)^{5}}-10.8\sqrt[4]{\left(3\right)^{5}}$

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Answer

$24.4568$

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$\int_3^{17}\left(\sqrt[4]{x}\right)dx$

Main topic:

Integral calculus

Time to solve it:

~ 0.44 seconds