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### 7 Cards in this Set

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 Left-hand rectangle approximation Ln = ΔX(f(Xo) + f(X1) +...+ f(Xn-1) = ΔXsum(f(Xk), n-1, k=0) Right-hand rectangle approximation Rn = ΔX(f(X1) + f(X2) +...+ f(Xn) = ΔXsum(f(Xk), n, k=1) Midpoint Rule f(a+ΔX(k+1/2)) = f((Xk+Xk+1)/2) Total Area: Mn=ΔX(f((X0+X1)/2)+...f((Xn-1+Xn)/2) = ΔXsum(f((Xk+Xk+1)/2),n-1,k=0) Trapezoidal Rule Area of Trapezoid= ΔX/2 (f(Xk)+f(Xk+1)) Tn=ΔX/2(f(Xo)+2f(X1)+2f(X2)+...+2f(Xn-1)+f(Xn)) Simpson's Rule Sn=ΔX/3 (f(X0)+4f(X1)+2f(X2)+4f(X3)+...+2f(Xn-2)+4f(Xn-1)+f(Xn) ΔX (b-a)/n Riemann Sums ΔXsum(f(Xk),n-1,k=0), where Xk is any sample ppoint in the kth subinterval