Express the Integral as a Limit of Sums $$\int _ { 0 } ^ { x } \sin 3 x d x$$

question 23

Short Answer

Express the integral as a limit of sums. Then evaluate the limit.
$$\int _ { 0 } ^ { x } \sin 3 x d x$$

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Definitions:

Semicircular Canals

Three fluid-filled tubes in the inner ear responsible for detecting rotational movements, contributing to the sense of balance.

Posture

The position or alignment in which the body is held, which can affect physical health and appearance.

Balance

The ability to maintain a body's center of mass over its base of support, or, more broadly, a state of equilibrium or parity characterized by cancellation of all forces by equal opposing forces.

Hippocampus

A brain structure involved in forming, organizing, and storing memories.