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∫491xdx = ______. -

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Question

`int_4^9 1/sqrt(x)dx` = ______.

Options

  • 4

  • 2

  • 3

  • 1

MCQ
Fill in the Blanks

Solution

`int_4^9 1/sqrt(x)dx` = 2.

Explanation:

`int_4^9 1/sqrt(x)dx = int_4^9 x^((-1)/2)dx`

= `[x^(1/2)/(1/2)]_4^9`

= `2/1[sqrt(9) - sqrt(4)]`

= 2(3 – 2)

= 2

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