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Use the Trapezoidal Rule and Simpson's Rule to Approximate the Value

question 74

Short Answer

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Compare your result with the exact value of the integral. Please give the answer to four decimal places.
Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Compare your result with the exact value of the integral. Please give the answer to four decimal places. ​   ​ Trapezoidal rule: __________ ​ Simpson's rule: __________ ​ Exact value: __________
Trapezoidal rule: __________

Simpson's rule: __________

Exact value: __________

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Definitions:

Acid Salt

A type of salt that contains an ionizable hydrogen atom, allowing it to act as an acid under suitable conditions.

Soluble

Ability of a substance to dissolve in a solvent, forming a homogeneous mixture at a molecular or ionic level.

Sodium Chloride

Common salt; an ionic compound with the formula NaCl, essential for life and used in food seasoning and preservation.

Soluble

The ability of a substance to dissolve in a solvent, forming a solution.

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