4 ways: derivative x(log(x)-1)

2010 #2 MIT Integration Bee

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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Review: Linear form, Quadratic form & Bilinear form

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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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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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Pantun Melayu [Buah cempedak di luar pagar]

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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#6 2010 MIT Integration Bee Qualifying Exam

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Median [special weighted mean]

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UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]

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Lamar U: Assume that x=x(t) & y=y(t) & differentiate the following equation wrt t

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exp integral e^2x/(1+e^x) dx

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Lamar U: Derivatives of Exponential & Log Functions Practice Problems.

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#8 2020 MIT Integration Bee Quali Exam: integral ∫x/(1-x^4) dx

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alternate way: count sum 1+3+5+ ... +(2n-1)

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logic: Show p→q ≡¬ p∨q

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trig integral cos^2(x) sin(x) dx

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4 ways: Evaluate Σ(2k+1) k=1,20

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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