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

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Simon Thomas 5 years, 11 months 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	7
a3	integer	-10
a2	integer	9
a5	integer	10
a4	integer	-5

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.

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Generated value: `integer`

→ Used by:

This variable doesn't seem to be used anywhere.

Advice

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

For example

(d)

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

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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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Checkpoint description

Simon Thomas 5 years, 11 months ago

Error in variable testing condition

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Warning

Generated value: `integer`

Parts

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 5 years, 11 months 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`