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Antiderivatives of Trig Functions

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Questions and Answers

Quale es le antiderivative de sin x?

-cos x + c (correct)

sec x + c

tan x + c

sin x + c

Quale es le antiderivative de cos x?

-cot x + c

sec x + c

e^u + c

sin x + c (correct)

Quale es le antiderivative de sec² x?

sec x + c

-cot x + c

csc x + c

tan x + c (correct)

Quale es le antiderivative de csc² x?

-cot x + c Signup and view all the answers

Quale es le antiderivative de csc x cot x?

-csc x + c Signup and view all the answers

Quale es le antiderivative de 1/u?

ln |u| + c Signup and view all the answers

Quale es le antiderivative de e^u?

e^u + c Signup and view all the answers

Quale es le antiderivative de a^u?

(a^u)(1/ln a) + c Signup and view all the answers

Study Notes

Antiderivatives of Trigonometric Functions

Antiderivative of sin x: ∫ sin x dx = -cos x + c
Antiderivative of cos x: ∫ cos x dx = sin x + c
Antiderivative of sec² x: ∫ sec² x dx = tan x + c
Antiderivative of csc² x: ∫ csc² x dx = -cot x + c
Antiderivative of sec x tan x: ∫ sec x tan x dx = sec x + c
Antiderivative of csc x cot x: ∫ csc x cot x dx = -csc x + c

Antiderivative of 1/u: ∫ 1/u du = ln |u| + c
Antiderivative of e^u: ∫ e^u du = e^u + c
Antiderivative of a^u: ∫ a^u du = (a^u)(1/ln a) + c

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Description

Explora le antiderivatas de functios trigonometric in iste quiz. Solar le definiciones e conceptos fundamental con flashcards que includi le resultato de integration pro cada funzione. Perfice tu comprehension del calculus trigonomic.