Questions and Answers
What is the integral of sin x dx?
-cos x + c
What is the integral of cos x dx?
sin x + c
What is the integral of sec^2 x dx?
tan x + c
What is the integral of csc^2 x dx?
Signup and view all the answers
What is the integral of sec x tan x dx?
Signup and view all the answers
What is the integral of csc x cot x dx?
Signup and view all the answers
What is the derivative of sin x?
Signup and view all the answers
What is the derivative of cos x?
Signup and view all the answers
What is the derivative of tan x?
Signup and view all the answers
What is the derivative of cot x?
Signup and view all the answers
What is the derivative of sec x?
Signup and view all the answers
What is the derivative of csc x?
Signup and view all the answers
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
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.
