Write a Definite Integral to Represent the Area of the Region

question 16

Essay

Write a definite integral to represent the area of the region enclosed by x² + y² = 8² , y = x, and x = 0. Do not evaluate.

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Definitions:

Lion Gate

The main entrance of the Bronze Age citadel of Mycenae in Greece, famous for its lintel topped by a relief sculpture of two lionesses.

Repoussé Image

A metalworking technique where the surface is shaped by hammering from the reverse side to create a raised design.

Corbel-Vaulted Galleries

Architectural features where arches or vaults are supported by a series of corbels—projecting stones, bricks, or wooden blocks—creating a passageway or gallery.

Tiryns

An ancient city in Greece, known for its archaeological site that includes impressive Mycenaean period fortifications.