#14 MIT 2022 Integration Bee Qualifying Exam

Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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Swinburne U 2nd way: e^(-e^x) e^x dx

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2nd/2 parts: 2 (elementary) rules

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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

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Quickie: Find the value of 4009x3991

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integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx

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2nd way: sq rt log integral ∫√√√(x) ln(x) dx

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If y=acos(ln(x)) + bsin(ln(x)), show that x^2y2 + xy1 +y=0

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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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Quickie: 6169^2 - 2331^2?

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Screen Recording 2024-05-11 at 9.05.02 PM

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#Screen Recording 2024-05-13 at 10.52.38 PM

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