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JHU: integral ∫t^3 e^(t^2) dt
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2nd way: derivative (x^x)^x
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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3 ways: Derivative x^(-1/x)
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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
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Polite number
Izure Saikyou no Renkinjutsushi? #12
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3 ways: rational function integral ∫2x/(x+1)^2 dx
2.5 ways: trig derivative x sin(x) cos(x)
3rd/3ways: exp Derivative x^x
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If 4xe^(xy)=y+5sin^2(x) then find the value of y'(0)
Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
3 ways: Derivative y=x^(m/n)
2 ways: integral ∫(a^2-x^2) dx
4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number
prob stat: Let J & K be independent events. P(J|K)=0.3. Find P(J)