3 Views PremiumJun 23, 2023
The Apothecary Diaries Episode 14
1 View
Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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Review: Linear form, Quadratic form & Bilinear form
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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2 ways: ¬p→q ≡ p∨q
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2 ways: derivative (ax+b)^n
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Find the median of 4,6,8,...,296
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3 ways: If y=x/(1+x^2) find dy/dx.
3 ways: Derivative x^(-1/x)
Review: Product to Sum Identities
The Apothecary Diaries Episode 15
4 Views
prob stat: x̄=∑xk where k=1,2,3,...,n?
UC Davis #6: ∫ (2+tan(x))^2 dx
3 ways: rational function integral ∫(x^2+1)/(x-1)^3 dx
CMU: Find these integrals (a)-(b)
logic: Show p→q ≡¬ p∨q