QUIZ
TRIVIAL
INTEGRALES IMPROPIAS
EMPEZAR
QUESTION 1/6 - shows
03:00
Question 1/6 - SHOWS
Explicación
∫1/xdx ; -1≤x≤ ∞ ->∫1/xdx = ∫1/xdx+∫1/xdx=Ln(|x|)-Ln(|x|)= Ln(0^(-))-Ln(|-1|)+[Ln(∞)-Ln(|0^+|)] Diverge.
QUESTION 2/6 - geography
03:00
QUESTION 2/6 - geography
Explicación
Función impar en un intervalo simétrico.
QUESTION 3/6 - history
03:00
QUESTION 3/6 - HISTORY
Explicación
∫1/sqrt(x+1)dx; -1 ≤x≤3 -> ∫1/sqrt(x+1)+∫1/sqrt(x+1)= 2sqrt(3+1)-2sqrt(-1^(+)+1)= 4-0=4.
QUESTION 4/6 - SCIENCE
03:00
QUESTION 4/6 - science
Explicación
∫1/(x+1)^(1/3)dx; -1 ≤x≤1 -> ∫1/(x+1)^(1/3)dx+∫1/(x+1)^(1/3)dx= 3(1+1)^(2/3)/2-3(-1^(+)+1)^(2/3)/2= 3(2)^(2/3)/2-0=3(2)^(2/3)/2.
QUESTION 5/6 - SPORTS
03:00
QUESTION 5/6 - sports
Explicación
∫2/(x-3)^(1/2)dx; 3≤x -> ∫2/(x-3)^(1/2)dx=4sqrt(x-3)= 4sqrt(∞-3)-[4sqrt(3^(+)-3)]= ∞-0=∞.
QUESTION 6/6 - art and literature
03:00
QUESTION 6/6 - art and literature
Explicación
∫1/(x+4)^(1/2)dx; x≤-4 -> 2sqrt(x+4)= 2sqrt(-4-4)-2sqrt(-∞ +4) -> diverge.
¡FIN DEL TEST!
Title
Trivial Impropio
Alberto
Created on October 15, 2025
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Transcript
QUIZ
TRIVIAL
INTEGRALES IMPROPIAS
EMPEZAR
QUESTION 1/6 - shows
03:00
Question 1/6 - SHOWS
Explicación
∫1/xdx ; -1≤x≤ ∞ ->∫1/xdx = ∫1/xdx+∫1/xdx=Ln(|x|)-Ln(|x|)= Ln(0^(-))-Ln(|-1|)+[Ln(∞)-Ln(|0^+|)] Diverge.
QUESTION 2/6 - geography
03:00
QUESTION 2/6 - geography
Explicación
Función impar en un intervalo simétrico.
QUESTION 3/6 - history
03:00
QUESTION 3/6 - HISTORY
Explicación
∫1/sqrt(x+1)dx; -1 ≤x≤3 -> ∫1/sqrt(x+1)+∫1/sqrt(x+1)= 2sqrt(3+1)-2sqrt(-1^(+)+1)= 4-0=4.
QUESTION 4/6 - SCIENCE
03:00
QUESTION 4/6 - science
Explicación
∫1/(x+1)^(1/3)dx; -1 ≤x≤1 -> ∫1/(x+1)^(1/3)dx+∫1/(x+1)^(1/3)dx= 3(1+1)^(2/3)/2-3(-1^(+)+1)^(2/3)/2= 3(2)^(2/3)/2-0=3(2)^(2/3)/2.
QUESTION 5/6 - SPORTS
03:00
QUESTION 5/6 - sports
Explicación
∫2/(x-3)^(1/2)dx; 3≤x -> ∫2/(x-3)^(1/2)dx=4sqrt(x-3)= 4sqrt(∞-3)-[4sqrt(3^(+)-3)]= ∞-0=∞.
QUESTION 6/6 - art and literature
03:00
QUESTION 6/6 - art and literature
Explicación
∫1/(x+4)^(1/2)dx; x≤-4 -> 2sqrt(x+4)= 2sqrt(-4-4)-2sqrt(-∞ +4) -> diverge.
¡FIN DEL TEST!
Title