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2 ways: ¬p→q ≡ p∨q
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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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lim x/e^x? as x→∞
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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3 ways: sum Show 1+3+5+...nth term = n^2
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1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture
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2nd/2 ways: trig integral ∫sin^3(x) dx
1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
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logic: contradiction p∧¬p
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4 ways: exp integral ∫a^(bx+c) dx
2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term
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trig integral ∫cot(x) log(sin(x)) dx
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WMich. U: 2nd way trig derivative d/dx(sin(x)^cos(x))
2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))
The University of Maine: rational function integral compute
2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)
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2nd way: Evaluate ∫a/(b+ce^x)dx
2 ways: derivative Find dy/dx, where tan(x+y)+tan(x-y)=1