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Examen
Edexcel A Level Maths - Pure
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---5noviembre 20242024/2025A+
- ∫1÷x - answer-ln|x| + c 
 
∫cos²x - answer-½x + ¼sin2x + c 
 
∫cos³x - answer-sinx - 1/3sin³x + c 
 
∫cosec²x - answer--cotx + c 
 
∫cosecx - answer--ln|cosecx + cotx| + c 
 
∫cosecxcotx - answer--cosecx + c 
 
∫cosx - answer-sinx + c 
 
∫cotx - answer-ln|sinx| + c 
 
∫eⁿ - answer-eⁿ + c 
 
∫sec²x - answer-tanx + c 
 
∫secx - answer-ln|secx + tanx| + c 
 
∫secxtanx - answer-secx + c 
 
∫sin²x - answer-½x - ¼sin2x + c 
 
∫sin³x - answer--cosx + 1/3cos³...
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TOPDOCTOR
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Examen
Edexcel A Level Maths - Pure|2023 LATEST UPDATE|GUARANTEED SUCCESS
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---36junio 20232022/2023A+
- Natural Numbers 
The set of numbers 1, 2, 3, 4, ... Also called counting numbers. 
 
 
 
Integers 
The set of whole numbers and their opposites 
Z⁺ 
Z⁺₀ 
 
 
 
Rational Number 
set of all numbers that can be written as a fraction of two integers 
Q 
 
 
 
irrational numbers 
Numbers that can't be written as a fraction... examples √2 and π 
 
 
 
Universal Set 
A set that includes all the objects being discussed. 
 
- Ex: U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14} 
 
 
 
Perfect Squares 
a...
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GUARANTEEDSUCCESS
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Examen
Edexcel A Level Maths - Pure|2023 LATEST UPDATE|GUARANTEED SUCCESS
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---6junio 20232022/2023A+
- Equation of a straight line 
y - y₁ = m(x - x₁) 
 
 
 
Distance between two points 
d = √(x₂ - x₁)² + (y₂ - y₁)² 
 
 
 
Integration by substitution 
∫f(x) = ∫f(x) × (dx÷du) 
 
 
 
Integration by parts 
∫u (dv÷dx) = uv - ∫v (du÷dx) 
 
 
 
Trapezium Rule 
A = ½h (y₀ + 2(y₁ + y₂ ... yₙ-₁) + yₙ) 
 
 
 
∫eⁿ 
eⁿ + c 
 
 
 
∫1÷x 
ln|x| + c 
 
 
 
∫cosx 
sinx + c 
 
 
 
∫sinx 
-cosx + c 
 
 
 
∫sec²x 
tanx + c 
 
 
 
∫cosecxcotx 
-cosecx + c 
 
...
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Examen
Edexcel A Level Maths - Pure|2023 LATEST UPDATE|GUARANTEED SUCCESS
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---7junio 20232022/2023A+
- Cosine Rule - Know 2 sides, and the angle in between. You want the missing side. 
a² = b² + c² - 2bcCosA 
 
 
 
Cosine Rule - Know 3 sides. You want an angle. 
Cos A = (b² + c² - a²) ÷ 2bc 
 
 
 
Sine Rule - Know 2 angles and a side. You want the missing side. 
(a ÷ SinA) = (b ÷ SinB) = (c ÷ SinC) 
 
 
 
Sine Rule - Know 2 sides and an angle. You want a missing angle. 
(Sin A ÷ a) = (Sin B ÷ b) = (Sin C ÷ c) 
 
 
 
Midpoint of a line segment on a circle. 
( (x₁ + x₂) ÷ 2 ) , ( ...
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