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Evaluate of the Following Integral: ∫ 1 3 √ X 2 D X - Mathematics

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प्रश्न

Evaluate of the following integral:

\[\int\frac{1}{\sqrt[3]{x^2}}dx\]
बेरीज
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उत्तर

\[\int\frac{dx}{\sqrt[3]{x^2}}\]
\[ = \int\frac{dx}{x^{2/3}}\]
\[ = \int x^{- 2/3} dx\]
\[ = \frac{x^{- \frac{2}{3} + 1}}{- \frac{2}{3} + 1} + C\]
\[ = 3 x^\frac{1}{3} + C\]
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Evaluation of Definite Integrals by Substitution
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Q 1.6
पाठ 19: Indefinite Integrals - Exercise 19.01 [पृष्ठ ४]

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आरडी शर्मा Mathematics [English] Class 12
पाठ 19 Indefinite Integrals
Exercise 19.01 | Q 1.6 | पृष्ठ ४

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