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Estudos Gerais • 04/19/2025

Calcule

Calcule ∫0114x2−4x+5dx=\int_0^1 \frac{1}{4x^2-4x+5}dx = .

A) arctan⁡1/5\arctan{1/\sqrt{5}}
B) 1(25)arctan⁡1/5\frac{1}{(2\sqrt{5})}\arctan{1/\sqrt{5}}
C) arctan⁡1/(25)\arctan{1/(2\sqrt{5})}
D) 1(25)arctan⁡1/5\frac{1}{(2\sqrt{5})}\arctan{1/\sqrt{5}}
E) 1(25)arctan⁡1/5\frac{1}{(2\sqrt{5})}\arctan{1/\sqrt{5}}

Calcule \(\int_0^1 \frac{1}{4x^2-4x+5}dx = \). A) \(\arctan{1/\sqrt{5}}\) B) \(\frac{1}{(2\sqrt{5})}\arctan{1/\sqrt{5}}\) C) \(\arctan{1/(2\sqrt{5})}\) D) \(\frac{1}{(2\sqrt{5})}\arctan{1/\sqrt{5}}\) E) \(\frac{1}{(2\sqrt{5})}\arctan{1/\sqrt{5}}\)
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