Integrate the function 1/(x^(4/5)) from -100 to -1

 Exercise

$\int_{-100}^{-1}\left(\frac{1}{x^{\frac{4}{5}}}\right)dx$

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Since the integral $\int_{-100}^{-1}\frac{1}{\sqrt[5]{x^{4}}}dx$ has a discontinuity inside the interval, we have to split it in two integrals

$\int_{-100}^{-99}\frac{1}{\sqrt[5]{x^{4}}}dx+\int_{-99}^{-1}\frac{1}{\sqrt[5]{x^{4}}}dx$

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The integral $\int_{-100}^{-99}\frac{1}{\sqrt[5]{x^{4}}}dx$ results in: $0$

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The integral $\int_{-99}^{-1}\frac{1}{\sqrt[5]{x^{4}}}dx$ results in: $0$

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Gather the results of all integrals

$0+0$

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Add the values $0$ and $0$

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