Screen Recording 2024-02-21 at 11.48.01 PM

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Junmie Fernandez

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count quick review: Permutation vs Combination

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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Review: Linear form, Quadratic form & Bilinear form

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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exp integral e^x (f(x) + f'(x)) dx

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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Find the number of permutations of the letters of the word ALLAHABAD

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logic: Simplify the Boolean function F=XYZ+XY'Z+XYZ'

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Example: Find the sum

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2024 MIT Integration Bee Final

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2nd/2 ways: Show 1+3+5+ ... +(2n-1) + (2n+1) + (2n-1)+...+5+3+1= n^2 + (n+1)^2

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trig integral a) ∫csc^2(x) dx

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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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alternate way: count sum 1+2+3+ ... +n

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Find the Maclurin series for (2x+3)(5x-4)

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