Edexcel A Level Pure Maths Exam
Questions and Answers 2024 Review
100% Pass
Equation of a straight line - Answer>>y - y₁ = m(x - x₁)
Distance between two points - Answer>>d = √(x₂ - x₁)² + (y₂ -
y₁)²
Integration by substitution - Answer>>∫f(x) = ∫f(x) × (dx÷du)
Integration by parts - Answer>>∫u (dv÷dx) = uv - ∫v (du÷dx)
Trapezium Rule - Answer>>A = ½h (y₀ + 2(y₁ + y₂ ... yₙ-₁) + yₙ)
∫eⁿ - Answer>>eⁿ + c
∫1÷x - Answer>>ln|x| + c
∫cosx - Answer>>sinx + c
∫sinx - Answer>>-cosx + c
∫sec²x - Answer>>tanx + c
∫cosecxcotx - Answer>>-cosecx + c
∫secxtanx - Answer>>secx + c
∫cosec²x - Answer>>-cotx + c
∫tanx - Answer>>-ln|cosx| = ln|cosx|-¹ = ln|1÷cosx| = ln|secx| + c
∫cotx - Answer>>ln|sinx| + c
, ∫secx - Answer>>ln|secx + tanx| + c
∫cosecx - Answer>>-ln|cosecx + cotx| + c
∫sin²x - Answer>>½x - ¼sin2x + c
∫cos²x - Answer>>½x + ¼sin2x + c
∫sin³x - Answer>>-cosx + 1/3cos³x + c
∫cos³x - Answer>>sinx - 1/3sin³x + c
Quadratic formula - Answer>>x = (-b ± √(b²-4ac)) ÷ 2a
Discriminant rules - Answer>>b² - 4ac > 0 = Two distinct real
roots
b² - 4ac = 0 = One repeated root
b² - 4ac < 0 = No real roots
Chain Rule
y = (f(x))ⁿ - Answer>>dy/dx = n(f(x))ⁿ-¹ × f'(x)
Product Rule
y = f(x)g(x) - Answer>>dy/dx = (g(x) × f'(x)) + (f(x) × g'(x))
Quotient Rule
y = f(x)÷g(x) - Answer>>dy/dx = ((g(x) × f'(x)) - (f(x) × g'(x)) ÷
(g(x))²
Questions and Answers 2024 Review
100% Pass
Equation of a straight line - Answer>>y - y₁ = m(x - x₁)
Distance between two points - Answer>>d = √(x₂ - x₁)² + (y₂ -
y₁)²
Integration by substitution - Answer>>∫f(x) = ∫f(x) × (dx÷du)
Integration by parts - Answer>>∫u (dv÷dx) = uv - ∫v (du÷dx)
Trapezium Rule - Answer>>A = ½h (y₀ + 2(y₁ + y₂ ... yₙ-₁) + yₙ)
∫eⁿ - Answer>>eⁿ + c
∫1÷x - Answer>>ln|x| + c
∫cosx - Answer>>sinx + c
∫sinx - Answer>>-cosx + c
∫sec²x - Answer>>tanx + c
∫cosecxcotx - Answer>>-cosecx + c
∫secxtanx - Answer>>secx + c
∫cosec²x - Answer>>-cotx + c
∫tanx - Answer>>-ln|cosx| = ln|cosx|-¹ = ln|1÷cosx| = ln|secx| + c
∫cotx - Answer>>ln|sinx| + c
, ∫secx - Answer>>ln|secx + tanx| + c
∫cosecx - Answer>>-ln|cosecx + cotx| + c
∫sin²x - Answer>>½x - ¼sin2x + c
∫cos²x - Answer>>½x + ¼sin2x + c
∫sin³x - Answer>>-cosx + 1/3cos³x + c
∫cos³x - Answer>>sinx - 1/3sin³x + c
Quadratic formula - Answer>>x = (-b ± √(b²-4ac)) ÷ 2a
Discriminant rules - Answer>>b² - 4ac > 0 = Two distinct real
roots
b² - 4ac = 0 = One repeated root
b² - 4ac < 0 = No real roots
Chain Rule
y = (f(x))ⁿ - Answer>>dy/dx = n(f(x))ⁿ-¹ × f'(x)
Product Rule
y = f(x)g(x) - Answer>>dy/dx = (g(x) × f'(x)) + (f(x) × g'(x))
Quotient Rule
y = f(x)÷g(x) - Answer>>dy/dx = ((g(x) × f'(x)) - (f(x) × g'(x)) ÷
(g(x))²
