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2024 #3 MIT Integration Bee Final Lightning Round
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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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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) 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
Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MPPET 1993 BIT Ranchi 1982 Hindusta: trig integral ∫ (1+cos^2(x)/sin^2(x) dx
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A bag contains 5 red balls & 3 green balls. A ball is selected at random &
example: Mean, Median & Mode
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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx
2nd way: integral ∫ (x^2+b)^3 dx
WALANG TUBIG - SUPER HOT IN THE PHILIPPINES
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2 ways: Find the derivative y=ln(x) sin(x)
Spoiled RottenFull Episode
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sq root 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫1/(√x (1+√x))dx
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Riding a BAMBOO Tandem Bike in BGC Philippines 🇵🇭