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Integrales inmediatas

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Mathematics

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Integrales inmediatas
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10 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

∫x6dx\int_{ }^{ }x^6dx  Observa la integral y elige la fórmula que usarías para resolverla.

∫xndx=xn+1n+1+C\int_{ }^{ }x^ndx=\frac{x^{n+1}}{n+1}+C  

∫dx=x+C\int_{ }^{ }dx=x+C  

∫adx=a∫dx\int adx=a\int dx  

∫(dx+dv+dw)=∫dx+∫dv+∫dw\int\left(dx+dv+dw\right)=\int dx+\int dv+\int dw  

2.

MULTIPLE CHOICE QUESTION

3 mins • 5 pts

∫x6dx=\int_{ }^{ }x^6dx=  

Resuelve la integral y elige la opción correcta:

x77+C\frac{^{ }x^7}{7}+C  

x55+C\frac{x^5}{5}+C  

x66\frac{x^6}{6}  

x6+cx^6+c  

3.

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

∫(x+1)2dx\int_{ }^{ }\left(x+1\right)^2dx  

Resuelve la integral y elige la opción que consideres correcta.

(x+1)33+C\frac{\left(x+1\right)^3}{3}+C  

(x+1)+C\left(x+1\right)+C  

(x+1)22+C\frac{\left(x+1\right)^2}{2}+C  

Ninguna de las anteriores

4.

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

∫(12x2+5x+1)dx\int_{ }^{ }\left(\frac{1}{2}x^2+5x+1\right)dx  

Resuelve la integral y elige la respuesta que consideres correcta.

12x3+5x22+x+C\frac{1}{2}x^3+\frac{5x^2}{2}+x+C  

x36+5x22+x+C\frac{x^3}{6}+\frac{5x^2}{2}+x+C  

x23+5x2+x+C\frac{x^2}{3}+\frac{5x}{2}+x+C  

5.

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

∫(5x23+x5−1)dx\int_{ }^{ }\left(\frac{5x^2}{3}+\frac{x}{5}-1\right)dx  Integra y elige la opción correcta.

5x39+x210−x+C\frac{5x^3}{9}+\frac{x^2}{10}-x+C  

5x33+x25−x+C\frac{5x^3}{3}+\frac{x^2}{5}-x+C  

5x3+x2+x+C5x^3+x^2+x+C  

6.

FILL IN THE BLANKS QUESTION

3 mins • 2 pts

Resuelve ∫x+1dx=∫(x+1)12dx=(x+1)3232+?=23(x+1)3+?\int\sqrt[]{x+1}dx=\int_{ }^{ }\left(x+1\right)^{\frac{1}{2}}dx=\frac{\left(x+1\right)^{\frac{3}{2}}}{\frac{3}{2}}+?=\frac{2}{3}\sqrt[]{\left(x+1\right)^3}+? agrega el valor que falta en el ?. ( Escribe el nombre del símbolo en una palabra, la primer letra es mayúscula.

(a)  

7.

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

∫(x2+5)2xdx=12∫(x2+5)22xdx=12∫(u)2du=(u3?)+C=((x2+5)3?)+C\int\left(x^2+5\right)^2xdx=\frac{1}{2}\int\left(x^2+5\right)^22xdx=\frac{1}{2}\int\left(u\right)^2du=\left(\frac{u^3}{?}\right)+C=\left(\frac{\left(x^2+5\right)^3}{?}\right)+C Complete la integral en las partes donde aparece el signo ?.

∫(x2+5)2xdx=(x2+5)36+C\int_{ }\left(x^2+5\right)^2xdx=\frac{\left(x^2+5\right)^3}{6}+C

∫(x2+5)2xdx=(x2+5)35+C\int_{ }\left(x^2+5\right)^2xdx=\frac{\left(x^2+5\right)^3}{5}+C

∫(x2+5)2xdx=(x2+5)33+C\int_{ }\left(x^2+5\right)^2xdx=\frac{\left(x^2+5\right)^3}{3}+C

∫(x2+5)2xdx=3(x2+5)32+C\int_{ }\left(x^2+5\right)^2xdx=\frac{3\left(x^2+5\right)^3}{2}+C

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