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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`
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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