Mathematics

Mathematics

Problem

Compute ∫0221+(3−2x)2 dx\displaystyle\int_{0}^{2}\frac{2}{1+(3-2x)^{2}}\,dx. a) arctan⁡3\arctan 3 b) 2arctan⁡32\arctan 3 c) arctan⁡3+π4\arctan 3 + \dfrac{\pi}{4} d) arctan⁡3−π4\arctan 3 - \dfrac{\pi}{4}

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