Danny's copy of Definite integration 1

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Danny Tran 5 years, 10 months ago

Created this as a copy of Definite integration 1.

Name	Status	Author	Last Modified
Definite integration 1	draft	Bill Foster	06/08/2020 08:41
Julie's copy of Definite integration 1	draft	Julie Crowley	08/10/2016 20:51
cormac's copy of Julie's copy of Definite integration 1	draft	cormac breen	23/02/2017 18:19
Simon's copy of Julie's copy of Definite integration 1	draft	Simon Thomas	21/03/2019 09:27
Definite integration 1	draft	Jo-Ann Lyons	24/04/2019 15:47
Danny's copy of Definite integration 1	draft	Danny Tran	21/05/2019 05:12

There are 17 other versions that do you not have access to.

Question statement

Evaluate the following definite integral.

Give any introductory information the student needs.

			Name	Type	Generated Value

ans1	number	8246.67
ans2	decimal	dec("1.95")
ans3	number	-0.02
ans4	number	0.0736
b4	integer	3
b1	integer	6
b2	integer	12
d1	integer	9
s2	integer	-1
s7	integer	1
s6	integer	-1
m4	integer	2
m3	integer	9
m2	integer	2
tol	number	0.01
a1	integer	1
tans4	number	0.07361243
c1	integer	4
tans1	number	8246.6666666667
tans3	number	-0.024691358
tol1	number	0.0001
p	integer	-9
t	integer	1
w	integer	0
n4	integer	-3

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
precround(tans1,2)

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`

8246.67

← Depends on:

tans1

→ Used by:

Advice
"Unnamed part" → "Unnamed gap" - Minimum accepted value
"Unnamed part" → "Unnamed gap" - Maximum accepted value

Parts

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.

$I=\int_1^{\var{b1}}\simplify[std]{({a1} * x ^ 2 + {c1} * x + {d1})^2}\;dx$

$I=\;\;$ Unnamed gap

Input your answer to 2 decimal places.

Advice

$I=\int_1^\var{b1}\simplify[std]{({a1} * x ^ 2 + {c1} * x + {d1})^2}\;dx$
Expand the parentheses to obtain:

$\begin{eqnarray*}I &=& \int_1^\var{b1} \simplify[std]{{a1 ^ 2} * x ^ 4 + {2 * a1 * c1} * x ^ 3+ {c1 ^ 2+2*a1*d1} * x ^ 2 + {2 * c1 * d1} * x+ {d1 ^ 2} }\;dx\\ &=&\left[\simplify[std]{{a1 ^ 2}/5 * x ^ 5 + {2 * a1 * c1}/4 * x ^ 4+ {c1 ^ 2+2*a1*d1}/3 * x ^ 3 + {2 * c1 * d1}/2 * x^2+ {d1 ^ 2}x }\right]_1^\var{b1}\\ &=&\var{tans1}\\ \\&=&\var{ans1}\mbox{ to 2 decimal places} \end{eqnarray*}$

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Part	Test	Passed?
Gap-fill
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Number entry
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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Danny Tran 5 years, 10 months ago

Error in variable testing condition

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Warning

Generated value: `number`

Parts

Gap-fill

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Danny's copy of Definite integration 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Danny Tran 5 years, 10 months ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`