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#10 2023 MIT Integration Bee Qualifying Exam
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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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count quick review: Permutation vs Combination
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1st/3parts: Checkpoint 1.1 STPM Math T Sem2
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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.
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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx
matrix example: How to select the column you want ...
prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:
Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
2nd way: integral ∫ log n√x (x) dx
UC Davis: integrate sin(x)/(1+sin(x)) dx
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Columbia U: 2nd way Evaluate the indefinite integral ∫1/(1+e^x) dx
trig integral ∫x^2 cos(x^3) e^sin(x^3) dx
logic implication distribute across disjunction: Show x→(y∨z) ≡ (x→y) ∨ (x→z)
Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx
AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx
2nd way: exp integral ∫2^(5x) 3^(-x) dx
1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)
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2 ways: Find the derivative y=ln(x) sin(x)