Flashcards for 5.9 Approximate Integration

How can a definite integral be approximated?

Formula for left endpoint rule?

Formula for right endpoint rule?

Formula for midpoint rule?

Formula for trapezoidal rule?

Relationship between trapezoidal rule and left/right sums?

How does concavity affect trapezoidal rule?

Concave up → overestimate, concave down → underestimate.

Formula for Simpson’s rule?

Coefficient pattern in Simpson’s rule?

1, 4, 2, 4, 2, …., 4, 2, 4, 1.

Relationship between Simpson’s rule, trapezoid, and midpoint?

Error bound for midpoint rule?

Error bound for trapezoidal rule?

Error bound for Simpson’s rule?