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?
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What is the integral of sec x tan x dx?
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What is the integral of csc x cot x dx?
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What is the derivative of sin x?
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What is the derivative of cos x?
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What is the derivative of tan x?
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What is the derivative of cot x?
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What is the derivative of sec x?
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What is the derivative of csc x?
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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.
