Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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

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trig Write each expression as an equivalent algebraic expression involving only x.

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2nd/3ways: exp Derivative x^x

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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2 ways: sq root √x^x

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4th way: rational function integral ∫x^3/√ (1+x^2) dx

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A function f is called even if f(-x)=f(x) for ALL x in the domain of f &

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3rd/3ways: trig integral ∫sec(x) dx

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