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Antiderivatives of Trigonometric Functions

14 Questions

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Antiderivatives of Trigonometric Functions

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Questions and Answers

Qual es le antiderivative de ∫sinxdx?

cosx + c

Qual es le antiderivative de ∫cosxdx?

sinx + c

Qual es le antiderivative de ∫sec²xdx?

tanx + c

Qual es le antiderivative de ∫csc²xdx?

cotx + c Signup and view all the answers

Qual es le antiderivative de ∫secxtanxdx?

secx + c Signup and view all the answers

Qual es le antiderivative de ∫cscxcotxdx?

-cscx + c Signup and view all the answers

Qual es le antiderivative de ∫tanxdx?

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

Qual es le antiderivative de ∫cotxdx?

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

Qual es le antiderivative de ∫secxdx?

ln|secx + tanx| + c Signup and view all the answers

Qual es le antiderivative de ∫cscxdx?

ln|cscx + cotx| + c Signup and view all the answers

Qual es le antiderivative de ∫(1/x)dx?

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

Qual es le antiderivative de ∫a^xdx?

(a^x)/lna + c Signup and view all the answers

Qual es le antiderivative de ∫lnxdx?

xlnx - x + c Signup and view all the answers

Qual es le antiderivative de ∫e^xdx?

e^x + c Signup and view all the answers

Study Notes

Antiderivatives de Trigonometricas

∫sinxdx resulta in cosx + c.
∫cosxdx resulta in sinx + c.
∫sec²xdx resulta in tanx + c.
∫csc²xdx resulta in -cotx + c.
∫secxtanxdx resulta in secx + c.
∫cscxcotxdx resulta in -cscx + c.

Antiderivatives de Functions Logarithmicas e Exponential

∫tanxdx resulta in ln|secx| + c.
∫cotxdx resulta in ln|sinx| + c.
∫secxdx resulta in ln|secx + tanx| + c.
∫cscxdx resulta in ln|cscx + cotx| + c.
∫(1/x)dx resulta in ln|x| + c.
∫a^xdx resulta in (a^x)/lna + c.
∫lnxdx resulta in xlnx - x + c.
∫e^xdx resulta in e^x + c.

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Description

This quiz focuses on the antiderivatives of various trigonometric functions. Each question tests your knowledge of the integral forms and their results. Perfect for students studying calculus and integration techniques.