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Estudos Gerais04/19/2025

Calcule

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

A) arctan15\arctan \frac{1}{\sqrt{5}}
B) 1(25)arctan15\frac{1}{(2\sqrt{5})}\arctan\frac{1}{\sqrt{5}}
C) arctan1(25)\arctan \frac{1}{(2\sqrt{5})}
D) 1(25)arctan15\frac{1}{(2\sqrt{5})}\arctan\frac{1}{\sqrt{5}}
E) 1(25)arctan15\frac{1}{(2\sqrt{5})}\arctan\frac{1}{\sqrt{5}}

Calcule \( \int_0^1 \frac{1}{4x^2+5} dx=\). 

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