Podcast
Questions and Answers
What is the integral of sin x dx?
What is the integral of sin x dx?
-cos x + c
What is the integral of cos x dx?
What is the integral of cos x dx?
sin x + c
What is the integral of sec^2 x dx?
What is the integral of sec^2 x dx?
tan x + c
What is the integral of csc^2 x dx?
What is the integral of csc^2 x dx?
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What is the integral of sec x tan x dx?
What is the integral of sec x tan x dx?
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What is the integral of csc x cot x dx?
What is the integral of csc x cot x dx?
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What is the derivative of sin x?
What is the derivative of sin x?
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What is the derivative of cos x?
What is the derivative of cos x?
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What is the derivative of tan x?
What is the derivative of tan x?
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What is the derivative of cot x?
What is the derivative of cot x?
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What is the derivative of sec x?
What is the derivative of sec x?
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What is the derivative of csc x?
What is the derivative of csc x?
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Study Notes
Trigonometric Integrals
- Integral of sin x dx equals -cos x + c, where c is the constant of integration.
- Integral of cos x dx results in sin x + c.
- Integral of sec² x dx produces tan x + c.
- Integral of csc² x dx yields -cot x + c.
- Integral of sec x tan x dx is sec x + c.
- Integral of csc x cot x dx results in -csc x + c.
Trigonometric Derivatives
- The derivative of sin x is cos x.
- The derivative of cos x is -sin x.
- The derivative of tan x is sec² x.
- The derivative of cot x is -csc² x.
- The derivative of sec x is sec x tan x.
- The derivative of csc x is -csc x cot x.
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Description
This quiz covers essential integrals and derivatives of trigonometric functions. You'll test your knowledge on how to compute integrals and derivatives, which are fundamental concepts in calculus. Prepare to reinforce your understanding of trigonometric identities and their applications in calculus.
