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Evaluate of the Following Integral: ∫ 1 X 5 D X - Mathematics

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Question

Evaluate of the following integral:

\[\int\frac{1}{x^5}dx\]

Sum

Solution

\[\int x^{- 5} dx\]
\[ = \frac{x^{- 5 + 1}}{- 5 + 1} + C\]
\[ = - \frac{1}{4} x^{- 4} + C\]
\[ = - \frac{1}{4 x^4} + C\]

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Evaluation of Definite Integrals by Substitution

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Q 1.3 Q 1.2 Q 1.4

Chapter 19: Indefinite Integrals - Exercise 19.01 [Page 4]

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RD Sharma Mathematics [English] Class 12

Chapter 19 Indefinite Integrals
Exercise 19.01 | Q 1.3 | Page 4

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