#6 2024 MIT Integration Bee Qualifying Exam

UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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2nd/3ways: trig integral ∫sec(x) dx

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logic Idempotent law show x=xVx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0

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

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UC Davis: #11 exp trig ∫cos(5x)/e^sin(5x) dx

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AP Calculus 2nd way: trig integral ∫1/(cos^2(x) √(1+tan(x)) dx

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Screen Recording 2024-05-12 at 8.34.35 PM

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AP Calculus 2nd way: integral ∫(2x^2 +1)e^(x^2) dx

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Screen Recording 2024-05-12 at 8.48.55 PM

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2nd way: trig integral 1/(cot(x)-tan(x)) dx

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2nd way: trig integral ∫cos(x)/(sin^2(x) + 4sin(x)+3) dx

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prob stat: The prob. that it will snow tomorrow is 0.75.

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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2nd Alternate trig ∫integral sin(x) dx

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