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Question
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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