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2010 #2 MIT Integration Bee
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^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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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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example: Mean, Median & Mode
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Screen Recording 2024-05-05 at 11.28.23 PM
4 ways: trig integral ∫tan(x) dx
2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx
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A bag contains 5 red balls & 3 green balls. A ball is selected at random &
prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
NUS MA1102R: Find ALL second-order partial derivatives of f(x,y) = x^2 y -y^3 + ln(x)
integral ∫x^3/(x+2) dx
AP Calculus: integral ∫(5√x^3 + √6x) /√x dx
#6 2010 MIT Integration Bee Qualifying Exam
derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2 - xy1 = a^2y.
Evaluate lim (e^x -1)/x^2 where x tends to 0
2nd/2 ways: MIT Integration Bee Final
*Screen Recording 2024-05-05 at 11.12.45 PM