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Approximate the Value of the Definite Integral

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Approximate the value of the definite integral.
Approximate the value of the definite integral. ​   ​ Use the trapezoidal rule. Please give the answer to four decimal places. ​ Use the Simpson's rule. Please give the answer to four decimal places.
Use the trapezoidal rule. Please give the answer to four decimal places.

Use the Simpson's rule. Please give the answer to four decimal places.

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Definitions:

Random Numbers

Numbers generated in such a way as to exhibit randomness, often used in simulations, cryptography, and for creating test cases in programming.

Pseudorandom Numbers

Number sequences that appear random but are generated by a deterministic process.

Sufficiently Random

A term used to describe a process or dataset that appears to lack any predictable pattern or order, to the extent that is necessary for a particular purpose.

Function Prototypes

Declarations of functions that specify the return type, name, and parameters of the function, used in programming for type checking and forward declarations.

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