If f'(x) = x+1x, then f(x) is ______. - Mathematics

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MCQ
Fill in the Blanks

If f'(x) = `x + 1/x`, then f(x) is ______.

Options

  • `x^2 + log |x| + C`

  • `x^2/2 + log |x| + C`

  • `x/2 + log |x| + C`

  • `x/2 - log |x| + C`

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Solution

If f'(x) = `x + 1/x`, then f(x) is `underline(bb(x^2/2 + log |x| + C))`.

Explanation:

`x^2/2 + log |x| + C`  .....`(∵ f(x) = int(x + 1/x)dx)`

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2022-2023 (March) Sample

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