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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx
prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point
2 ways: trig integral ∫tan^3(x) sec^2(x) dx
JHU: integral ∫t^3 e^(t^2) dt
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NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)
1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
2024 MIT Integration Bee Final
Screen Recording 2024-02-16 at 8.23.14 PM
AP Calculus 2nd way: integral ∫(1-√x)/(1+√x) dx
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Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx
1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]
2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫tan^(3/2)(x) sec^4(x) dx
2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
2nd way: Evaluate ∫ 1/√(1-e^(2x)) dx
U North Texas Integration Bee 2nd way: x^2/√(x-1) dx
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