Simon's copy of Julie's copy of Integration 04: Exponential Functions

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Simon Thomas 6 years ago

Created this as a copy of Julie's copy of Integration 04: Exponential Functions.

Name	Status	Author	Last Modified
Julie's copy of Integration 04: Exponential Functions	draft	Julie Crowley	06/02/2017 15:38
Integration 04: Exponential Functions	draft	Phu Ong	29/10/2017 10:10
Simon's copy of Julie's copy of Integration 04: Exponential Functions	draft	Simon Thomas	20/03/2019 14:54
Maria's copy of Simon's copy of Julie's copy of Integration 04: Exponential Functions	draft	Maria Aneiros	27/05/2019 07:21

There are 12 other versions that do you not have access to.

Question statement

The basic results are

$\int(e^{x})dx=e^{x}+c$

$\int(e^{kx})dx=\dfrac{1}{k}e^{kx}+c$

Don't forget the constant c in your answers!

Give any introductory information the student needs.

			Name	Type	Generated Value

a1	integer	4
a3	integer	-4
a2	integer	10
a5	integer	9
a4	integer	-3

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..10)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

Advice
"Part a)" - prompt
"Part a)" - Correct answer
"Part b)" - prompt
"Part b)" - Correct answer
"Part c)" - prompt
"Part c)" - Correct answer
"Part d)" - prompt
"Part d)" - Correct answer

Advice

The answers should all follow directly from the standard result $\int(e^{kx})dx=\dfrac{1}{k}e^{kx}+c$

For example

(d)

$\int \dfrac{2}{\var{a5}}e^{\var{a1}x}+\dfrac{1}{\var{a3}}e^{\var{a4}x} \; dx=\dfrac{2}{\var{a5}}\dfrac{e^{\var{a1}x}}{\var{a1}}+\dfrac{1}{\var{a3}}\dfrac{e^{\var{a4}x}}{\var{a4}}+c=\simplify{2e^({a1}x)/({a1*a5})+e^({a4}x)/({a3*a4})+c}$

Give a worked solution to the whole question.

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This question is used in the following exams:

Introduction to Integration by Simon Thomas in Maths support.
Integration introduction by Simon Thomas in Calculus.

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Simon's copy of Julie's copy of Integration 04: Exponential Functions

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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History

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Checkpoint description

Simon Thomas 6 years ago

Error in variable testing condition

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Warning

Generated value: `integer`

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Mathematical expression

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Checking accuracy

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Error

Simon's copy of Julie's copy of Integration 04: Exponential Functions

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 6 years ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Mathematical expression

Advanced settings

Checking accuracy

Variable value generators

Pattern restriction

Variables

String restrictions

Generated value: `integer`