AP Calculus BC LIM-5.A—Approximate a definite integral using geometric and numerical methods Concept

LIM-5.A Approximate a definite integral using geometric and numerical methods.
LIM-5.A.1 Definite integrals can be approximated for functions that are represented graphically, numerically, analytically, and verbally.
LIM-5.A.2 Definite integrals can be approximated using a left Riemann sum, a right Riemann sum, a midpoint Riemann sum, or a trapezoidal sum; approximations can be computed using either uniform or nonuniform partitions.
LIM-5.A.3 Definite integrals can be approximated using numerical methods, with or without technology.
LIM-5.A.4 Depending on the behavior of a function, it may be possible to determine whether an approximation for a definite integral is an underestimate or overestimate for the value of the definite integral.
Enduring understanding LIM-5: Definite integrals can be approximated using geometric and numerical methods.