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Trigonometric Integrals Quiz

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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?

-cot x + c Signup and view all the answers

What is the integral of sec x tan x dx?

sec x + c Signup and view all the answers

What is the integral of csc x cot x dx?

-csc x + c Signup and view all the answers

What is the derivative of sin x?

cos x Signup and view all the answers

What is the derivative of cos x?

-sin x Signup and view all the answers

What is the derivative of tan x?

sec^2 x Signup and view all the answers

What is the derivative of cot x?

-csc^2 x Signup and view all the answers

What is the derivative of sec x?

sec x tan x Signup and view all the answers

What is the derivative of csc x?

-csc x cot x Signup and view all the answers

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.

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Description

Test your knowledge of integral calculus with this quiz focused on trigonometric functions. Each question covers the integral forms of various trigonometric functions, providing a solid review of the topic. Perfect for students in calculus courses or those revisiting these concepts.