Trivial Impropio

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!

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