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Q79Section II (Mathematics)79 of 180

Numerical analysis — composite trapezoidal error is O(h2)O(h^2)

Let f(x)f(x) take the values y0,…,yny_0,\dots,y_n at x0=a,x1=x0+h,…,xn=x0+nh=bx_0=a, x_1=x_0+h,\dots,x_n=x_0+nh=b (the booklet prints x1=x0+nx_1=x_0+n). Then the error in the trapezoidal rule for integration is of order:

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