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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
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Review: Linear form, Quadratic form & Bilinear form
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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lim x/e^x? as x→∞
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(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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Daily life of grain eaters
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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx
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prob stat: The following frequency table gives the values obtained
The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.
Evaluate these 7 integrals ...
prob stat Toss a pair of fair 6-sided dice. The sample space has 36 outcomes.
prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?
Which pairs are equivalent via truth table?
2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?
Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction
2nd way: 1) ∫1/(a + √b x^2) dx vs 2) ∫1/(a + √b x^2) dx