Simon's copy of Julie's copy of Definite integration 1

Error

There was an error loading the page.

Contributors

History

○

Simon Thomas 6 years, 1 month ago

Created this as a copy of Julie's 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	378.87
ans2	decimal	dec("1.95")
ans3	number	-1.57
ans4	number	0.6466
b4	integer	2
b1	integer	2
b2	integer	6
d1	integer	2
s2	integer	1
s7	integer	1
s6	integer	-1
m4	integer	2
m3	integer	2
m2	integer	1
tol	number	0.01
a1	integer	4
tans4	number	0.6466471676
c1	integer	5
tans1	number	378.8666666667
tans3	number	-1.5707963268
tol1	number	0.0001
p	integer	-2
t	integer	1
w	integer	1
n4	integer	-1

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`

378.87

← Depends on:

tans1

This variable doesn't seem to be used anywhere.

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:

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

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

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

This question is used in the following exams:

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

Loading...

Error

Simon's copy of Julie's copy of Definite integration 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: `number`

Parts

Gap-fill

Loading...

Error

Simon's copy of Julie's copy of Definite integration 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Simon Thomas 6 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`