What is the integral from 0 to 5 of 1/(x^{21/22)} ?

The integral from 0 to 5 of 1/(x^{21/22)} is 22*5^{1/22}

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integral from 0 to 5 of 1/(x^{21/22)}

\int_{0}^{5} \frac{1}{x ^{\frac{21}{22}}} d x

22 \cdot 5^{\frac{1}{22}}

Decimal Notation

23.66977 \dots

Solution steps

\int_{0}^{5} \frac{1}{x ^{\frac{21}{22}}} d x

Apply the Power Rule

: [22 x^{\frac{1}{22}}]_{0}^{5}

= [22 x^{\frac{1}{22}}]_{0}^{5}

Compute the boundaries:

22 \cdot 5^{\frac{1}{22}}

= 22 \cdot 5^{\frac{1}{22}}

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\frac{d}{d x} (\frac{( 2 x ^{2} - 1 ) ^{3}}{( 5 x - 8 ) ^{2}})

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\frac{d}{d x} (\frac{x ^{2} - 1}{( x + 1 ) ^{2}})

What is the integral from 0 to 5 of 1/(x^{21/22)} ?
The integral from 0 to 5 of 1/(x^{21/22)} is 22*5^{1/22}