English

∫dx5x-6-x2 equals ______. -

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Question

`int (dx)/sqrt(5x - 6 - x^2)` equals ______.

Options

  • sin–1(2x + 5) + c

  • cos–1(2x + 5) + c

  • sin–1(2x – 5) + c

  • cos–1(2x – 5) + c

MCQ
Fill in the Blanks

Solution

`int (dx)/sqrt(5x - 6 - x^2)` equals `underlinebb(sin^-1(2x - 5) + c)`.

Explanation:

I = `int (dx)/sqrt(1/4 - (x - 5/2)^2`

= sin–1(2x – 5) + c

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