2.5 We want to use left-hand, right-hand, and midpoint approximations with n = 4 subintervals of equal width to estimate 1.25z dx. -0.5 (a) The width of each subinterval is Ax = (b) If we use a left-hand approximation, then the left-hand endpoints are (as a comma-separated list). The left-hand approximation is L4 = ( (c) If we use a right-hand approximation, then the right-hand endpoints are (as a comma-separated list). The right-hand approximation is R4 = ( (d) If we use a midpoint approximation, then the midpoints are (as a comma-separated list). The midpoint approximation is M4 = +

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.