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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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Screen Recording 2023-12-06 at 3.07.30 AM
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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Screen Recording 2024-05-18 at 10.21.39 PM
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Find 1) E(X) 2) E(3X) 3) E(3x+2)
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Vandermonde's Identity
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MIT Integration Bee Qual. Exam #9: integral (2logx+1)e^(log(x))^2 dx
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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2
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#16 MIT 2022 Integration Bee Qualifying Exam
Alternate way: ∫1/(x^2+a^2) dx
Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx