Derivation Of Composite Trapezoidal Rule
Derivation Of Composite Trapezoidal Rule : b Let us find the value of ∫ f(x) dx a numerically by composite trapezoidal rule. Solution : Let [a,b] be divided into n equal sub intervals of length h each . Let a= x₀,x₁,x₂,.......xₙ=b be the points of sub division . i.e x₁ = x₀+ih for i= 0,1,2,......n By Newton's Forward Difference Interpolation f(x) = f(x₀)+uΔf(x₀) +u(u-1)/2! Δ²f(x₀)+........ ...