Find $\displaystyle\int{\frac{2x-1}{{{x}^{2}}+2x+1}\,}\mathrm{d}x$. [4] Find the exact value of $\di

Question

Find $\displaystyle\int{\frac{2x-1}{{{x}^{2}}+2x+1}\,}\mathrm{d}x$. [4] Find the exact value of $\displaystyle\int_{0}^{2}{\frac{\left| 2x-1 \right|}{{{x}^{2}}+2x+1}}\,\mathrm{d}x$. [3]

Accepted Answer

$2\ln|x+1| + \frac{3}{x+1} + C$; $4\ln 2 - 2\ln 3$

N2022 P1 Q8

N2022 P1 Q8

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