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Can you name the solutions to these differential and integral equations?

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Equation	Solution	Hints
d/dx(sin(x))		Trigonometric function
∫ x dx		Don't forget the constant!
d/dx(x²-x⁻¹+3)		Basic stuff
∫ 3x²-4x+5 dx		Don't forget the constant!
dy/dt=y		Mulitplicative constant is 'A'
d/dx(tan(x))		Trigonometric function
d/dx(xˣ)		The log function proves useful..
∫2sin(x)cos(x)dx		In terms of one trigonometric function (and constant)
d/dx(arcsin(x))		Write 'root' for sqrt
∫1/√(x²+1) dx		Hyperbolic (not in terms of 'e')

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Created Nov 27, 2011
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