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Diana Torres

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Mathematics

QUIZ INTEGRALES 12A

Diana Torres

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10 questions

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1. Multiple-choice

10 minutes

1 pt

$\int sen\ \left(3x\right)dx$
Al resolver la integral. obtenemos

$-\frac{1}{3}\cos\left(3x\right)+C$

$\frac{1}{3}\cos\left(3x\right)+C$

$-\frac{1}{3}sen\left(3x\right)+C$

$\frac{1}{3}sen\left(3x\right)+C$
2. Multiple-choice

10 minutes

1 pt

$\int e^x\left(x^2-2x-1\right)dx$

$e^x\left(x^2-4x+3\right)^2+C$

$e^x\left(x^2+2x-1\right)+C$

$e^x\left(x^2-4x+3\right)^3+C$

$e^x\left(u\right)^2+C$
3. Multiple-choice

10 minutes

1 pt

$\int\frac{3x}{4x^2+5}dx$
El resultado es

$\frac{3}{8}\ln\left|4x^2+5\right|+C$

$-\frac{3}{8}\ln\left|4x^2+5\right|+C$

$\frac{8}{3}\ln\left|4x^2+5\right|+C$

$-\frac{8}{3}\ln\left|4x^2+5\right|+C$
4. Multiple-choice

10 minutes

1 pt

$\int x\sqrt{x+1}dx$
Al resolver la integral, el resultado es

$\frac{2}{5}\sqrt{\left(x+1\right)^5}+\frac{2}{3}\sqrt{\left(x+1\right)^3}+C$

$-\frac{2}{5}\sqrt{\left(x+1\right)^5}-\frac{2}{3}\sqrt{\left(x+1\right)^3}+C$

$\frac{2}{5}\sqrt{\left(x+1\right)^5}-\frac{2}{3}\sqrt{\left(x+1\right)^3}+C$

$-\frac{2}{5}\sqrt{\left(x+1\right)^5}+\frac{2}{3}\sqrt{\left(x+1\right)^3}+C$
5. Multiple-choice

10 minutes

1 pt

$\int\left(3x^2-2x+1\right)^5\left(1-3x\right)dx$
El resultado es

$-\frac{1}{12}\left(3x^2-2x+1\right)^6+C$

$\frac{1}{12}\left(3x^2-2x+1\right)^6+C$

$-\frac{1}{12}\left(3x^2+2x+1\right)^6+C$

$-\frac{1}{12}\left(3x^2-2x-1\right)^6+C$
6. Multiple-choice

10 minutes

1 pt

$\int8x^3\sqrt{2x^4+6}dx$
La integral es

$-\frac{2\sqrt{\left(2x^4+6\right)^3}}{3}+C$

$\frac{2\sqrt{\left(2x^4+6\right)^3}}{3}+C$

$\frac{2\sqrt{\left(2x^4-6\right)^3}}{3}+C$

$\frac{\sqrt{\left(2x^4+6\right)^3}}{3}+C$
7. Multiple-choice

10 minutes

1 pt

$\int\left(\frac{x}{\left(x^2+3\right)^5}dx\right)$

$-\frac{1}{8\left(x^2+3\right)^4}+C$

$\frac{1}{8\left(x^2-3\right)^4}+C$

$\frac{1}{8\left(x^2+3\right)^4}+C$

$-\frac{1}{8\left(x^2+3\right)^4}-C$
8. Multiple-choice

10 minutes

1 pt

$\int x\sqrt{2-x}dx$

$-\frac{4}{3}u^{\frac{3}{2}}+2u^{\frac{5}{2}}+C$

$-\frac{4}{3}u^{\frac{3}{2}}-2u^{\frac{5}{2}}+C$

$\frac{4}{3}u^{\frac{3}{2}}+2u^{\frac{5}{2}}+C$

$\frac{4}{3}u^{\frac{3}{2}}-2u^{\frac{5}{2}}+C$
9. Multiple-choice

10 minutes

1 pt

$\int\left(6x^3-4x\right)\left(3x^4-4x^2\right)dx$
El resultado es

$\frac{\left(3x^4+4x^2\right)^8}{16}+C$

$\frac{\left(3x^4-4x^2\right)^8}{4}+C$

$\frac{\left(3x^4-4x^2\right)^8}{16}+C$

$-\frac{\left(3x^4-4x^2\right)^8}{4}+C$
10. Multiple-choice

10 minutes

1 pt

$\int\left(\frac{x+2}{\sqrt{x^2+4x}}\right)$
La integral es

$\left(x^2+4x\right)^2+C$

$\sqrt{\left(x^2+4x\right)^3}+C$

$\sqrt{\left(x^2+4x\right)^4}+C$

$\sqrt{\left(x^2+4x\right)}+C$
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QUIZ INTEGRALES 12A

Mathematics

Mathematics

QUIZ INTEGRALES 12A

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10 questions

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