#1 2017 MIT Integration Bee Qualifying Exam

Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=

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

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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2nd way: exp integral ∫e^(1/x)/x^2 dx

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Show integral 1/(x(x^2+a^2)) dx = 1/(2a^2) ln(x^2/(x^2+a^2))

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trig integral ∫tan^n(x) dx where n is EVEN via Reduction formula

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UC Davis: differentiate y=cos^2(x^3)

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First Prize Campus Opening Dance "Come On Amigo" #SportsMeeting #OpeningCeremony #OpeningDance

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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 mean 118,50,84,67,101 withOUT calculation. Support your answer.

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Show integral ∫x √(ax+b) dx = 2(3ax-2b)√(ax+b)^3 /(15a^2)

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Screen Recording 2024-02-22 at 10.09.39 PM

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AP Calculus 2nd way: integral ∫1/(3√(x^2) + 3√(x^4)) dx

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Quickie: 6169^2 - 2331^2?

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2nd/3ways: exp Derivative x^x

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multivariable Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1)...

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Alternate way: trig integral ∫sin(x) dx

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3rd/3ways: exp Derivative x^x

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