Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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lim x/e^x? as x→∞

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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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1st way: exp ∫(e^x)/x (1+x log(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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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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prob stat: One sample of n=4 scores has a mean of M=10, &

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exp integral ∫a^(√√x^3)/√√x dx

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2 ways: ∫ (1-x)/√(1-x^2) dx

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2nd way: Evaluate integral ∫x^2/√(19-x^2) dx

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#10 2023 MIT Integration Bee Qualifying Exam

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COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))

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2 ways: log derivative log3(x)

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4 ways: trig integral ∫sin(x) cos(x) dx

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