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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?
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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: count sum 1 + 2 + 3+... + n via "polynomial"
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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integration bee 2014 UNSW 2nd way 1/(sin^3(x) cos(x))
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integration bee 2014 UNSW 2nd way e^x(cos(x)+sin(x)) dx
integration bee 2014 UNSW 2nd way: tan(x)/(sin(x) cos(x)) dx
2nd way: log ln(tan(x))/(sin(x) cos(x)) dx
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2nd way: e^x cos^3(e^x) sin(e^x) dx
Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx