Find a Bound on the Error in Approximating the Integral $\int_{-3}^{6} x^{3} d x ; \quad n=6$

question 32

Short Answer

Find a bound on the error in approximating the integral using (a) the Trapezoidal Rule and (b) Simpson's Rule with n subintervals. $\int_{-3}^{6} x^{3} d x ; \quad n=6$

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Definitions:

Shorter

Having lesser length, height, or duration than something else or than is typical.

Amplitude

In physics, it refers to the maximum extent of a vibration or oscillation, measured from the position of equilibrium.

Brightness

The perception of light intensity, often described in terms of the amount of light emitted or reflected by an object.

Colour

The characteristic of visual perception described through categories with names such as red, blue, yellow, etc., primarily caused by the spectrum of light interacting with the photoreceptor cells of the eye.