Consider the Integral $\int _ { 0 } ^ { 05 } \cos \left( x ^ { 3 } \right) d x$

question 114

Short Answer

Consider the integral $\int _ { 0 } ^ { 05 } \cos \left( x ^ { 3 } \right) d x$ Approximating it by the Midpoint Rule with n equal subintervals, give an estimate for n which guarantees that the error is bounded by $\frac { 1 } { 10 ^ { 4 } } .$

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Definitions:

Persona

The aspect of someone's character that is presented to or perceived by others, often tailored to the specific audience or context.

Public Face

The aspect of an individual's behavior or personality that is presented to or perceived by others; often contrasted with a more private or concealed aspect of the person.

Inner Self

The aspect of an individual that is considered the true, core identity or essence of the person, often distinguished from external appearances.

Phallic Stage

A phase in Freudian psychosexual development occurring around ages three to six, where the child's libido centers upon their genitalia as the erogenous zone.