... numerical solutions of differential equations. In researches,especially after the advent of computer, the numerical solutions of the differential equations havebecome easy for manipulations. Hence, ... (Proved)PROBLEM SET 6. 21. Use Trapezoidal rule to evaluate 130xdx∫ consisting five sub-intervals. [Ans. 0. 26] 2. Calculate an approximate value of integral /20sinxdxπ∫, by using Trapezoidal rule.[Ans. ... = 0 .69 315452. Ans. 6. 10 EULER-MACLAURIN’S FORMULAThis formula is based on the expansion of operators. Suppose () (),Fx fx∆= then an operator 1−∆,called inverse operator, is defined as...