Test 2 Prep Flashcards
1
Q
arclength formula
A
∫√(1+(f’(x))^2)dx
2
Q
Midpoint rule formula
A
Mn = Δx[f(x1) + f(x2) + …. + f(xn)]
3
Q
Trapezoid Rule formula
A
Tn = (Δx)/2 [f(x0) + 2{f(x1)+f(x2) +…… + f(xn-1)} + f(xn)]
4
Q
Simpsons Rule formula
A
Sn = (Δx)/3 [f(x0) + 4f(x1) +2f(x2) + 4f(x3) +…… 2(f(xn-2) + 4f(xn-1) + f(xn)]
5
Q
Value of K for Trapiziod and Midpoint Rule
A
K = max |f”(x)|
6
Q
Value of K for Simpsons Rule
A
K = max |f”“(x)|
7
Q
How do you know if an improper integral is convergent or diverge?
A
Take limit as t goes to infinity. If you a finite number it converges otherwise diverges
