Вычислите интеграл [tex] \int\limits^2_1 {2x^3} \, dx [/tex]. Created by Danil02280. algebra-ru

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Вычислите интеграл [tex] \int\limits^2_1 {2x^3} \, dx [/tex]

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nafanya2014

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$\int\limits^2_1 {2x^3} \, dx = (\frac{2x^4}{4})|^2_1 =(\frac{x^4}{2})|^2_1 =(\frac{2^4}{2})-(\frac{1^4}{2})=(\frac{16}{2})-(\frac{1}{2})= \frac{15}{2}=7,5$

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