Formulas Integrals Flashcards
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Questions and Answers

Quina es la forma integral de $∫ e^x dx$?

  • e^x - C
  • e^x + C (correct)
  • e^x + 1
  • e^x

Quina es la forma integral de $∫ sin(x) dx$?

  • -sin(x) + C
  • -cos(x) + C (correct)
  • cos(x) + C
  • sin(x) + C

Quina es la forma integral de $∫ sec²(x) dx$?

  • sec(x) - C
  • tan(x) - C
  • tan(x) + C (correct)
  • sec(x) + C

Quina es la forma integral de $∫ sec(x)tan(x) dx$?

<p>sec(x) + C (B)</p> Signup and view all the answers

Quina es la forma integral de $∫ sinh(x) dx$?

<p>cosh(x) + C (D)</p> Signup and view all the answers

Quina es la forma integral de $∫ tan(x) dx$?

<p>ln|sec(x)| + C (D)</p> Signup and view all the answers

Quina es la forma integral de $∫ 1/(x² + a²) dx$?

<p>(1/a)tan⁻¹(x/a) + C (C)</p> Signup and view all the answers

Quina es la forma integral de $∫ 1/x dx$?

<p>ln|x| + C (C)</p> Signup and view all the answers

Quina es la forma integral de $∫ a^x dx$?

<p>(a^x / ln(a)) + C (B)</p> Signup and view all the answers

Quina es la forma integral de $∫ cos(x) dx$?

<p>sin(x) + C (D)</p> Signup and view all the answers

Quina es la forma integral de $∫ csc²(x) dx$?

<p>-cot(x) + C (A)</p> Signup and view all the answers

Quina es la forma integral de $∫ csc(x)cot(x) dx$?

<p>-csc(x) + C (D)</p> Signup and view all the answers

Quina es la forma integral de $∫ cosh(x) dx$?

<p>sinh(x) + C (A)</p> Signup and view all the answers

Quina es la forma integral de $∫ cot(x) dx$?

<p>ln|sin(x)| + C (A)</p> Signup and view all the answers

Quina es la forma integral de $∫ 1/√(a² - x²) dx$?

<p>sin⁻¹(x/a) + C, a &gt; 0 (A)</p> Signup and view all the answers

Study Notes

Formulas d'Integrales

  • ∫ e^x dx = e^x + C
  • ∫ sin(x) dx = -cos(x) + C
  • ∫ sec²(x) dx = tan(x) + C
  • ∫ sec(x)tan(x) dx = sec(x) + C
  • ∫ sinh(x) dx = cosh(x) + C
  • ∫ tan(x) dx = ln|sec(x)| + C
  • ∫ 1/(x² + a²) dx = (1/a)tan⁻¹(x/a) + C
  • ∫ 1/x dx = ln|x| + C
  • ∫ a^x dx = (a^x / ln(a)) + C
  • ∫ cos(x) dx = sin(x) + C
  • ∫ csc²(x) dx = -cot(x) + C
  • ∫ csc(x)cot(x) dx = -csc(x) + C
  • ∫ cosh(x) dx = sinh(x) + C
  • ∫ cot(x) dx = ln|sin(x)| + C
  • ∫ 1/√(a² - x²) dx = sin⁻¹(x/a) + C (per a > 0)

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Aquesta sèria de flashcards presenta divèrsas formulacions d'integrals. Cada carta inclou l'integral d'una foncion amb la seua solucion. Aquesta activitat es ideal per revisar e aprendre las integrals en una manièra interactiva.

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