Luis's copy of Integration: Definite Integration

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Luis Hernandez 6 years, 4 months ago

Created this as a copy of Integration: Definite Integration.

Name	Status	Author	Last Modified
Integration: Definite Integration	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Morten's copy of Integration: Definite Integration	draft	Morten Brekke	12/04/2018 15:10
Nick's copy of Morten's copy of Integration: Definite Integration	draft	Nick Walker	22/06/2018 07:04
Nick's copy of Integration: Definite Integration	draft	Nick Walker	22/06/2018 07:06
Luis's copy of Integration: Definite Integration	draft	Luis Hernandez	30/11/2018 15:22
Integration: Definite Integration using e^x, sin(x), and that leads to ln(x), write in decimals	draft	Johnny Yi	26/01/2019 22:46
Integration: Definite Integration 3 Integrals	draft	Clare Lundon	23/01/2019 19:55
Simon's copy of Integration: Definite Integration	draft	Simon Thomas	21/03/2019 09:48
Blathnaid's copy of Integration: Definite Integration	draft	Blathnaid Sheridan	25/03/2019 15:12
Integration: Definite Integration	draft	Xiaodan Leng	10/07/2019 23:24

There are 16 other versions that do you not have access to.

Question statement

Evaluate the following definite integrals.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	number	1.5
b	integer	3
m3	integer	7
s2	integer	-1
ans2	number	0.433
ans3	number	-0.143
b2	integer	8
ans1	number	-0.352
tol	number	0.001
b1	number	-0.5
w	integer	0
m2	integer	9
c1	integer	-2
d1	integer	-9
tans1	number	-0.3517556315
tol1	number	0.0001
tans3	number	-0.1428571429
t	integer	-1

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-2..2#0.5 except 0)

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: `number`

1.5

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add
Part c) Gap-fill
1. Gap Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$I=\int_0^{\var{b1}}\simplify[std]{e^({a}x)}\;dx$

$I=\;\;$ Unnamed gap

Input your answer to 3 decimal places.

Advice

$\begin{eqnarray*}I&=&\int_0^{\var{b2}}\simplify[std]{1/({b}*x+{m2})}\;dx\\ &=&\frac{1}{\var{b}}\left[\ln(\var{b}x+\var{m2})\right]_0^{\var{b2}}\\ &=&\frac{1}{\var{b}}\left\{ \ln(\var{b2*b+m2})-\ln(\var{m2})\right\}\\ &=&\frac{1}{\var{b}}\ln\left(\frac{\var{b2*b+m2}}{\var{m2}}\right)\\ &=&\var{ans2}\mbox{ to 3 decimal places} \end{eqnarray*}$

Give a worked solution to the whole question.

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Part	Test	Passed?
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Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

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Luis's copy of Integration: Definite Integration

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Luis Hernandez 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `number`

Parts

Gap-fill

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Error

Luis's copy of Integration: Definite Integration

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Luis Hernandez 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`