2 ways: ∫1/(x^2+2x-3) dx

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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

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Screen Recording 2024-05-12 at 8.48.55 PM

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#10 2023 MIT Integration Bee Qualifying Exam

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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Screen Recording 2024-05-11 at 9.09.07 PM

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Screen Recording 2024-05-18 at 12.32.05 AM

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2nd/2parts example Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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Screen Recording 2024-05-12 at 10.30.40 PM

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#9 2010 MIT Integration Bee Qualifying Exam

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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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STPM Math T Sem.2:

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Amaya & Ben integrated (1+x)^2 wrt x using different methods as follows ...

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3rd/3ways: trig integral ∫sec(x) dx

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Screen Recording 2024-02-22 at 10.06.31 PM

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AP Calculus: integral ∫ln(a+bx^2) dx

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Screen Recording 2024-02-22 at 10.13.28 PM

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