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2 ways: Σ 1? where k=m to n
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
2nd way: integral ∫ log √x(x^n) dx
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2 ways: trig integral ∫ sin^2(ax+b) dx
2nd way: trig integral ∫1/(cos(x)(1+cos(x)) dx
prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.
alternate way: ∫ √(x^2+a^2 )dx via "expressing in 2 ways"
UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...
If 2^x + 2^y = 2^(x+y), then dy/dx ?
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Fill in each blank using either mean or median.
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Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4
NYU: 3 ways ∫(1+ln(x))/x dx
Rutgers U: Verify using calculus
UC Davis #1 integral 1/(1+√x) dx via power sub.
3 ways: derivative a^(f(x)g(x))
Pantun Melayu [Buah cempedak di luar pagar]
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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.