Lamar U: Derivatives of Exponential & Log Functions Practice Problems.

2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx

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STPM Math T Sem2: Find the Maclaurin series for xe^(-x) [ahp kia]

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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2nd way: ∫2x/(x+5)^6 dx vs ∫2x (x+5)^6 dx

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Screen Recording 2024-02-02 at 1.54.05 AM

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Bijection of elements in tn & a pair of elements of (n+1)

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set Show X∩ ((Y∪ X') ∩ Y') = ∅

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integral ∫√(x-a)/x dx

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.

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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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#3 2024 MIT Integration Bee Qualifying Exam

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#15 2022 MIT Integration Bee Qualifying Exam

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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2nd way: If y=(ax-b)/(a-bx), prove that 2y1y3=3(y2)^2

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Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx

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