Integrales de una función

Integrales de una función

University

10 Qs

quiz-placeholder

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Integrales de una función

Integrales de una función

Assessment

Quiz

Mathematics

University

Practice Problem

Hard

Created by

juan colmenarez

Used 3+ times

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Pregunta 1: Calcule la integral ∫(2x+3)^4 dx utilizando la sustitución u=2x+3.

(1/2)∫u^4 du

(1/3)∫u^3 du

(1/4)∫u^5 du

(2/5)∫u^6 du

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(1/5) * e^(x^3) + C

(1/2) * e^(x^3) + C

(1/3) * e^(x^3) + C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Pregunta 3: Resuelva la integral ∫(lnx)^2/x dx utilizando la sustitución u=lnx.

u^2 + C

u^4/4 + C

u^3/3 + C

u^2/2 + C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Pregunta 4: Calcule la integral ∫(x^2+1) * cos(x^3+3x) dx utilizando la sustitución u=x^3+3x.

(1/3) * sin(u) + C

(1/3) * cos(x^2+1) + C

(1/3) * sin(x^3+3x) + C

(1/3) * cos(u) + C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Pregunta 5: Encuentre la integral ∫x * ln(x) dx utilizando la integración por partes.

ln(x) - x + C

x * ln(x) - x + C

x^2 * ln(x) - ∫dx

x*ln(x) - ∫dx

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Pregunta 6: Resuelva la integral ∫e^x * cos(x) dx utilizando la integración por partes.

e^x * sin(x) + e^x * cos(x) + C

e^x * cos(x) - e^x * sin(x) + C

e^x * tan(x) - e^x * cos(x) + C

e^x * sin(x) - e^x * cos(x) + C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Pregunta 7: Calcule la integral ∫x * sin(x) dx utilizando la integración por partes.

x * cos(x) + sin(x) + C

x * cos(x) - sin(x) + C

−x * cos(x) + sin(x) + C

x * sin(x) - cos(x) + C

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