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prob stat: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...
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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 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.
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#9 2023 MIT Integration Bee Qualifying Exam
Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)
Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx
#15 2022 MIT Integration Bee Qualifying Exam
1st/2parts: Linear interpolation (2 given points)
logic: Translate the following compound into symbols using statements P & Q & logical connective
#1 2021 MIT Bee Qualifier: trig integral sin(x) cos(x) tan(x) sec(x) csc(x) cot(x) dx
A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.
2nd way: trig integral (sin(x)-cos(x))^2 dx