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If $\$ 1000$ is deposited into an acocunt for 4 years and earns interest at $5 \%$ compounded continuously, find the average value of the account during the 4 year period.

$$\$ 1107.01$$

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 7

Substitution and Properties of Definite Integrals

Integrals

Baylor University

University of Michigan - Ann Arbor

Boston College

Lectures

05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

01:03

Find the accumulated amoun…

00:45

Suppose that $\$ 1,000$ is…

01:38

Calculate the present valu…

01:29

00:33

Find the present value of …

01:26

You deposit $\$500$ in an …

01:33

You deposit $\$ 500$ in an…

00:30

Use the formula $A=P(1+r)^…

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