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The value of ∫23xx2+1dx is ______.

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Question

The value of `int_2^3 x/(x^2 + 1)`dx is ______.

Options

  • `log 4`

  • `log  3/2`

  • `1/2 log2`

  • `log  9/4`

MCQ
Fill in the Blanks
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Solution

The value of `int_2^3 x/(x^2 + 1)`dx is `underline(bb(1/2 log 2))`.

Explanation:

`int_2^3 x/(x^2 + 1) = 1/2 [log(x^2 + 1)]_2^3`

= `1/2 (log 10 -  log 5)`

= `1/2 log (10/5)`

= `1/2 log 2`

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2022-2023 (March) Sample

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