Trigonometric Integrals Quiz

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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?

<p>-cot x + c</p> Signup and view all the answers

What is the integral of sec x tan x dx?

<p>sec x + c</p> Signup and view all the answers

What is the integral of csc x cot x dx?

<p>-csc x + c</p> Signup and view all the answers

What is the derivative of sin x?

<p>cos x</p> Signup and view all the answers

What is the derivative of cos x?

<p>-sin x</p> Signup and view all the answers

What is the derivative of tan x?

<p>sec^2 x</p> Signup and view all the answers

What is the derivative of cot x?

<p>-csc^2 x</p> Signup and view all the answers

What is the derivative of sec x?

<p>sec x tan x</p> Signup and view all the answers

What is the derivative of csc x?

<p>-csc x cot x</p> Signup and view all the answers

Flashcards

Integral of sin x dx

The integral of sin x is -cos x + c.

Integral of cos x dx

The integral of cos x is sin x + c.

Integral of sec^2 x dx

The integral of sec^2 x is tan x + c.

Integral of csc^2 x dx

The integral of csc^2 x is -cot x + c.

Signup and view all the flashcards

Integral of sec x tan x dx

The integral of sec x tan x is sec x + c.

Signup and view all the flashcards

Integral of csc x cot x dx

The integral of csc x cot x is -csc x + c.

Signup and view all the flashcards

Derivative of sin x

The derivative of sin x is cos x.

Signup and view all the flashcards

Derivative of cos x

The derivative of cos x is -sin x.

Signup and view all the flashcards

Derivative of tan x

The derivative of tan x is sec^2 x.

Signup and view all the flashcards

Derivative of cot x

The derivative of cot x is -csc^2 x.

Signup and view all the flashcards

Derivative of sec x

The derivative of sec x is sec x tan x.

Signup and view all the flashcards

Derivative of csc x

The derivative of csc x is -csc x cot x.

Signup and view all the flashcards

Study Notes

Trigonometric Integrals

  • The integral of sin x dx results in -cos x + c.
  • For cos x dx, the integral is sin x + c.
  • sec^2 x dx integrates to tan x + c.
  • The integral of csc^2 x dx leads to -cot x + c.
  • sec x tan x dx integrates to sec x + c.
  • csc x cot x dx produces -csc x + c.

Trigonometric Derivatives

  • The derivative of sin x is cos x.
  • For cos x, the derivative is -sin x.
  • tan x differentiates to sec^2 x.
  • The derivative of cot x results in -csc^2 x.
  • sec x has a derivative of sec x tan x.
  • For csc x, the derivative is -csc x cot x.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Use Quizgecko on...
Browser
Browser