Trigonometric Integrals and Derivatives

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.