Difinite Integral -Riemann Sum A function fis said to be integrable on a finite closed interval [.if the limit limx max△xk→0 k=1 exists and does not depend on the choice of partitions or on the choice of the points in the subintervals.When this is the case we denote the limit by the symbol fx)dk=Iim,∑fx)Ax nax△xk→0 k=1 which is called the definite integral of ffrom a to b.The numbers a and are called the lower and upper limit of integration respectively andfx)is called the integrand.Difinite Integral – Riemann Sum ⚫ A function f is said to be integrable on a finite closed interval [a,b] if the limit exists and does not depend on the choice of partitions or on the choice of the points in the subintervals. When this is the case we denote the limit by the symbol which is called the definite integral of f from a to b. The numbers a and are called the lower and upper limit of integration respectively and f(x) is called the integrand. * max 0 1 lim ( ) k n k k x k f x x  → =   * max 0 1 ( ) lim ( ) k n b k k a x k f x dx f x x  → =  =  