Set Up, but Do Not Evaluate, an Integral for the Volume

question 39

Short Answer

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. $y=\sin x, y=0, x=4 \pi, x=11 \pi \text {; about the } y \text { - axis }$

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Definitions:

Dividends Payable

Dividends payable are a liability on a company's balance sheet representing the amount of dividends that the company has declared but has not yet paid out to its shareholders.

Dividends Expense

The sum distributed from a portion of a company's earnings to its shareholders; often associated with preference shares.

Common Stock Dividend Distributable

Stockholders’ equity account that accumulates a stock dividend that has been declared but not yet issued and distributed.

Paid-in Capital

The amount of money that a company has received from shareholders in exchange for shares of stock.