This technique can be replaced with a more accurate technique calculated by taking one third the difference of the right and left end points, multiplied by the sum of f of a plus f of b plus four times f of a plus b over two; that technique is called Simpson's rule. Applying this method from the *right will give an overestimate for a monotonically increasing function and an underestimate for a monotonically decreasing function; using both the right and left side of this method will give a better estimate in a variation of this technique known as the trapezoid rule. For 10 points, name this method of estimating the area under a curve by dividing it into a group of rectangular blocks, named for a German mathematician.
This technique can be replaced with a more accurate technique calculated by taking one third the difference of the right and left end points, multiplied by the sum of f of a plus f of b plus four times f of a plus b over two; that technique is called Simpson's rule. Applying this method from the *right will give an overestimate for a monotonically increasing function and an underestimate for a monotonically decreasing function; using both the right and left side of this method will give a better estimate in a variation of this technique known as the trapezoid rule. For 10 points, name this method of estimating the area under a curve by dividing it into a group of rectangular blocks, named for a German mathematician.
This technique can be replaced with a more accurate technique calculated by taking one third the difference of the right and left end points, multiplied by the sum of f of a plus f of b plus four times f of a plus b over two; that technique is called Simpson's rule.
{Riemann sum} (prompt on integration before “right”)