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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`

MCQ
Fill in the Blanks

Solution

`int(1-x)^-2 dx` = `bb((1-x)^-1 + c)`

Explanation:

`int(1-x)^-2 dx = (1-x)^(-2+1)/((-2+1)).d/dx (1-x) + c`

`= (1-x)^-1/((-1)). (0-1) + c`

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

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