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∫(1-x)-2dx = ______.

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Question

`int(1 - x)^(-2) dx` = ______.

Options

  • (1 − x)−1 + c

  • (1 + x)−1 + c

  • (1 − x)−1 − 1 + c

  • (1 − x)−1 + 1 + c

  • (1 − x)−1 − x + c

  • (1 − x)−1 + x + c

MCQ
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Solution

`int(1 - x)^(-2)dx` = (1 − x)−1 + c.

Explanation:

`int(1-x)^-2.dx`

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

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

= (1 − x)−1 + c

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Chapter 1.5: Integration - Q.1

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