Random Maths Stuff for EoY

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Last updated 7:49 PM on 5/9/26
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13 Terms

1
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Radians arc length formula

𝒔 =𝒓𝜽

2
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Radians area of a sector formula

Area=1/2x𝑟²𝜃

3
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Product rule

(u x dv) + (v x du)

4
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Quotient rule

((v x du) - (u x dv)) / v²

5
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Integration by parts rule

∫𝑢 𝑑𝑣 = 𝑢𝑣 −∫𝑣 𝑑u

6
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1 + tan²𝜽

sec²𝜽

7
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Surface area of a sphere

4πr²

8
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Volume of a sphere

4/3πr³

9
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Area of a triangel

1/2absinc

10
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When is a binomial distribution valid?

  • The events are independent

  • There is a constant probability throughout the events

  • Only two outcomes - success or failure

  • Fixed number of trials

11
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Integration by parts proof

Derivation of Integration By Parts Formula

12
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Sum of arithmetic series proof

Arithmetic Series | Free Notes & Practice – Maths: Edexcel A Level Pure Maths

13
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Sum of geometric series proof