hyper trig integral ∫cosh(x) a^(logb(sinh(x)) ))dx

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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2nd way: derivative x^n w.r.t x^x

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

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Pantun Melayu [Sorong papan tarik papan]

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(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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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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Screen Recording 2024-05-18 at 10.21.39 PM

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Screen Recording 2023-12-06 at 3.07.30 AM

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Find 1) E(X) 2) E(3X) 3) E(3x+2)

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prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')

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Vandermonde's Identity

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example Find 1+2+3+...+n via Pick's Theorem

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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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Alternate way: ∫1/(x^2+a^2) dx

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#16 MIT 2022 Integration Bee Qualifying Exam

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Screen Recording 2024-05-18 at 12.32.05 AM

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