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logic Idempotent law show x=xVx
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2nd/2parts Mohammad Ali Jinnah University: Integrate the followings.
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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Review: Linear form, Quadratic form & Bilinear form
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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AP Calculus: log ∫√x(√√x) da
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Screen Recording 2024-05-13 at 9.18.43 PM
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Screen Recording 2024-05-05 at 11.28.23 PM
Screen Recording 2024-05-18 at 12.32.05 AM
prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
prob stat Given that P(A')=2_3, P(B)=1_2 & P(AnB)=1_12, find P(AuB)
exp Calculate ∫x^3 3^x dx via IBP
Find the median of 4,6,8,...,296
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Columbia U: 4th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx
GPT4: A tweet snippet from Michal Kosinski
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Tom is still too naive
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