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Choose the correct alternative from the following. ∫(1-x)-2dx = - Mathematics and Statistics

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Question

Choose the correct alternative from the following.

`int (1 - "x")^(-2) "dx"` = 

Options

  • `(1 + "x")^-1` + c

  • `(1 - "x")^-1` + c

  • `(1 - "x")^-1 - 1` + c

  • `(1 - "x")^-1 + 1` + c

MCQ

Solution

`(1 - "x")^-1` + c

Explanation:

`int (1 - "x")^(-2) "dx" = (1 - "x")^-1/(- 1 xx -1)` + c

`= (1 - "x")^-1` + c

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Chapter 5: Integration - MISCELLANEOUS EXERCISE - 5 [Page 137]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 5 Integration
MISCELLANEOUS EXERCISE - 5 | Q I. 9) | Page 137
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