Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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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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2nd way: integral ∫ log √x(x^n) dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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Alternate way: integral ∫ax+b dx

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Derivative d/dx(x^x) NOT equal ...

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Alternate way: trig integral ∫sin(x) dx

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2nd Alternate trig ∫integral sin(x) dx

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