Find a Bound on the Error in Approximating the Definite

question 119

Essay

Find a bound on the error in approximating the definite integral Please round your answers to seven decimal places.
Using the trapezoidal rule with 6 intervals.
Using Simpson's rule with 6 intervals.

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Definitions:

Carbon-Carbon Double Bond

A chemical bond between two carbon atoms involving four bonding electrons instead of the usual two, giving the molecule added stability and reactivity.

Geometry

The study or description of the shape and relative arrangement of figures and bodies or their properties in space.

Alkene

Unsaturated hydrocarbons containing at least one carbon-carbon double bond, participating in various chemical reactions.

Poly(Tetrafluoroethylene)

A synthetic polymer known for its exceptional chemical resistance and used in non-stick coatings, commonly called Teflon.