Prueba de Integrales Trigonométricas
Quiz
•
Mathematics
•
12th Grade
•
Practice Problem
•
Medium
Santiago Torres
Used 3+ times
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12 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
Calcular la integral de cos(x) * ln(x) dx utilizando integración por partes.
ln(x) * sin(x) + C
cos(x) * sin(x) + C
ln(x) * cos(x) + C
cos(x) * x * ln(x) + C
2.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
(9/2) * (sin^(-1)(x/3) + x * sqrt(9 - x^2)/9) + C
(9/2) * (cot^(-1)(x/3) + x * sqrt(9 - x^2)/9) + C
(9/2) * (tan^(-1)(x/3) + x * sqrt(9 - x^2)/9) + C
(9/2) * (cos^(-1)(x/3) + x * sqrt(9 - x^2)/9) + C
3.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
Hallar la integral de tan(x) sec^2(x) dx.
sin(x) + C
cos(x) + C
ln|sec(x)| + C
ln|tan(x)| + C
4.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
Calcular la integral de sin^3(x) cos(x) dx utilizando identidades trigonométricas.
sin^3(x) + cos(x) + C
(1/4) * sin^2(x) * cos(x) + (1/2) * cos^2(x) + C
sin(x) * cos^3(x) + C
sin^2(x) * cos(x) + cos^2(x) + C
5.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
Resolver la integral de 1 / (x^2 + 1) dx mediante integración por sustitución.
1/2 ln|x^2 - 1| + C
1/2 ln|x^2 + 1| + C
1/2 ln|x^2| + C
ln|x^2 + 1| + C
6.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
Hallar la integral de sec(x) tan(x) dx.
sec(x) + ln|sec(x) + tan(x)| + C
sec(x) - ln|sec(x) - tan(x)| + C
sec(x) + ln|sec(x) - tan(x)| + C
sec(x) - ln|sec(x) + tan(x)| + C
7.
MULTIPLE CHOICE QUESTION
3 mins • 5 pts
Calcular la integral de x / sqrt(1 - x^2) dx mediante sustitución trigonométrica.
cos^(-1)(x) + C
tan^(-1)(x) + C
sec^(-1)(x) + C
sin^(-1)(x) + C
Answer explanation
La integral de x / sqrt(1 - x^2) dx mediante sustitución trigonométrica es sin^(-1)(x) + C.
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