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int(-1)^(1)log(x+sqrt(x^(2)+1))dx=?...

`int_(-1)^(1)log(x+sqrt(x^(2)+1))dx=?`

A

`log.(1)/(2)`

B

`log2`

C

`(1)/(2)log2`

D

`0`

Text Solution

AI Generated Solution

To solve the integral \( \int_{-1}^{1} \log(x + \sqrt{x^2 + 1}) \, dx \), we will follow these steps: ### Step 1: Define the function Let \[ f(x) = \log(x + \sqrt{x^2 + 1}). \] ...
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