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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
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2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx
The number of solutions of the equation x^(log10(x)) = 100x
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prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.
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Express the sum of the digits of the number (1000^20 - 20) in decimal notation
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#11 2019 MIT Integration Bee Final