تكامل الدوال المثلثية PDF
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This document provides examples and rules for integrating trigonometric functions. It includes detailed solutions and formulas for integrals involving sine, cosine, secant, and cosecant functions.
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## تكامل الدوال المثلثية 1. **∫ sin ax dx = -1/a cos ax + c** 2. **∫ cos ax dx = 1/a sin ax + c** 3. **∫ sec² ax dx = 1/a tan ax + c** 4. **∫ csc² ax dx = -1/a cot ax + c** 5. **∫ sec ax tan ax dx = 1/a sec ax + c** 6. **∫ csc ax cot ax dx = -1/a csc ax + c** ### مثال / اوجد ∫ sin (2x + 4)dx...
## تكامل الدوال المثلثية 1. **∫ sin ax dx = -1/a cos ax + c** 2. **∫ cos ax dx = 1/a sin ax + c** 3. **∫ sec² ax dx = 1/a tan ax + c** 4. **∫ csc² ax dx = -1/a cot ax + c** 5. **∫ sec ax tan ax dx = 1/a sec ax + c** 6. **∫ csc ax cot ax dx = -1/a csc ax + c** ### مثال / اوجد ∫ sin (2x + 4)dx **1/2 ∫ sin (2x + 4)(2dx) = -1/2 cos(2x + 4) + c** ### مثال / اوجد ∫ x²Sinx³ dx **1/3 ∫ Sinx³ (3x²dx) = -1/3 cosx³ + c** ### مثال / اوجد ∫ cos x + x¯² dx **∫ cos x + x¯² dx = sin x + x¯¹ + c = sinx - x¯¹ + c** ### مثال / اوجد ∫ x + sec x tan x dx **∫ x + sec x tan x dx = x²/2 + sec x + c** ### مثال / اوجد ∫ 9 sin 3x dx **∫ 9 sin 3x dx = 3 ∫ 3sin 3x dx = -3cos 3x + c**
