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QUESTION Evaluate $\ds\int_0^1\frac{1}{2x+1}\,dx$.


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ANSWER

$\ds\int_0^1\frac{1}{2x+1}\,dx
=\left[\frac{1}{2}\ln(2x+1)\right]_0^1
=\frac{1}{2}\ln3-\frac{1}{2}\ln1=\frac{1}{2}\ln3$




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