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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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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lim x/e^x? as x→∞
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Lamar U: #11 trig integral ∫csc^6(x/4) cot^4(x/4) dx
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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx
#19 2011 MIT Integration Bee Qualifying Exam
2024 MIT Integration Bee Final
prob stat: X & Y are 2 events s.t P(x|y)=0.4, P(y)=0.25 & P(x)=0.2.
Screen Recording 2024-02-16 at 8.23.14 PM
2nd way: trig integral ∫ 1/( √3 sin(x) + cos(x)) dx
2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx
#7 2023: MIT Integration Bee Quali Exam: integral ∫x^3 sin(x^2) 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
1st/2 ways: MIT Integration Bee
multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.
2nd way: trig sq rt Calculate integral ∫cos √x dx