Use the Definition of Area as a Limit to Find $f ( x ) = 4 x ^ { 3 } + 1$

question 49

Essay

Use the definition of area as a limit to find the area of the region that lies under the graph of $f ( x ) = 4 x ^ { 3 } + 1$ over the interval $0 \leq x \leq 6$ .

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Definitions:

Preprinted Terms

Agreements or forms that have standard conditions and text already printed on them before they are used, requiring only specific details to be added.

Handwritten Terms

Conditions or clauses manually written into a legal document or contract, which can sometimes hold precedence over printed text.

Ambiguous

Lacking clearness or definiteness; difficult to comprehend, distinguish, or classify due to having more than one possible interpretation.

Flowers

The reproductive structure found in flowering plants, characterized by beautiful colors and fragrance, which play a key role in the process of pollination.