Find a Bound on the Error in Approximating the Given

question 249

Essay

Find a bound on the error in approximating the given definite integral using the trapezoidal rule with n intervals. If necessary, round the answer to seven decimal places.
Find a bound on the error in approximating the given definite integral using the Simpson's rule with n intervals. If necessary, round the answer to seven decimal places.

---

Definitions:

Wild-Type Counterparts

Refer to the normal genes, alleles, or phenotypes that occur most frequently in the natural population, as opposed to mutant versions.

Recombinant Vaccine

A vaccine made by inserting genes from a pathogen into a different organism, producing an antigen and stimulating an immune response.

Viral Surface Protein

Proteins located on the surface of viruses that play key roles in the virus's ability to infect host cells and evade the host's immune response.

Reverse Transcriptase

An enzyme that synthesizes DNA from an RNA template, pivotal in the lifecycle of retroviruses and in certain biotechnological applications.