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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 $∫ sec(x)tan(x) dx$?

sec(x) + C (B) Signup and view all the answers

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

cosh(x) + C (D) Signup and view all the answers

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

ln|sec(x)| + C (D) Signup and view all the answers

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

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

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

ln|x| + C (C) Signup and view all the answers

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

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

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

sin(x) + C (D) Signup and view all the answers

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

-cot(x) + C (A) Signup and view all the answers

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

-csc(x) + C (D) Signup and view all the answers

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

sinh(x) + C (A) Signup and view all the answers

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

ln|sin(x)| + C (A) Signup and view all the answers

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

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

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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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