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#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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🪔 Happy Deepavali 🪔 [Nov-12-2023]
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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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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt
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alternate way: count sum 1+3+5+ ... +(2n-1)
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Toukutsu Ou Eps 04 Sub Indo
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Dosed and knocked out by a psychopath? And they even stole the house keys? Completely under that bad
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A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R
Conversion: Permutation - Combination vice versa
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prob stat: The following frequency table gives the values obtained
3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2
log sq root integral ∫ln(√ x^3)/√ √ x dx
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alternate way: count sum 1+2+3+ ... +n
AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx
2 ways: Derivative √ (1+√ (1+√ x)))
3 ways: trig integral ∫tan(x) sec^2(x) dx
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Aston Martin rapide s from fast and furious franchise