Let

question 84

Essay

Let .
a.Use Part 1 of the Fundamental Theorem of Calculus to find .
b.Use Part 2 of the Fundamental Theorem of Calculus to integrate to obtain an alternative expression for F(x).
c.Differentiate the expression for F(x) found in part (b).The Fundamental Theorem of Calculus, Part 1
If f is continuous on [a, b], then the function F defined by
is differentiable on (a, b), and
The Fundamental Theorem of Calculus, Part 2
If f is continuous on [a, b], then
where F is any antiderivative of f, that is, .

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Definitions:

Declared Right

A benefit or privilege announced by a company to its shareholders, such as the right to purchase additional shares at a determined price before the public.

General Cash Offer

A public offering of securities to all investors by a company aiming to raise capital, as opposed to a rights offering or private placement.

Securities

Financial instruments that represent ownership positions in corporations (stock), creditor relationships with governmental bodies or corporations (bonds), or rights to ownership as represented by an option.

Rights Offering

A method by which companies raise additional capital by giving existing shareholders the right to subscribe to new shares at a discount.