If is continuous on [a, b], then the solution to dy/dt = f (t) with initial

If ƒ is continuous on [a, b], then the solution to dy/dt = f (t) with initial condition y(a) = 0 is  Show that Euler’s Method with time step h = (b − a)/N for N steps yields the Nth left-endpoint approximation to 

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y(t) = [₁ f(u) du.