1.

With respect to the numerical evaluation of the definite integral. \(K = \mathop \smallint \nolimits_a^b {x^2}dx,\) where a and b are given, which of the following statements is/are TRUE?I) The value of K obtained using the trapezoidal rule is always greater than or equal to the exact value of the definite integral.II) The value of K obtained using the Simpson’s rule is always equal to the exact value of the definite integral.

A. I only
B. II only
C. Both I and II
D. Neither I nor II
Answer» D. Neither I nor II


Discussion

No Comment Found