Definite integration 1

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Jo-Ann Lyons 6 years ago

Created this as a copy of Simon's 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	21363.20
ans2	decimal	dec("2.40")
ans3	number	-0.79
ans4	number	0.2345
b4	integer	3
b1	integer	5
b2	integer	10
d1	integer	8
s2	integer	-1
s7	integer	1
s6	integer	-1
m4	integer	2
m3	integer	4
m2	integer	1
tol	number	0.01
a1	integer	3
tans4	number	0.2345077989
c1	integer	9
tans1	number	21363.2
tans3	number	-0.7853981634
tol1	number	0.0001
p	integer	-6
t	integer	1
w	integer	1
n4	integer	-2

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xxxxxxxxxx
 
precround(tans1,2)

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Generated value: `number`

21363.20

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

$I=\;\;$ 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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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Jo-Ann Lyons 6 years ago

Error in variable testing condition

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Generated value: `number`

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Definite integration 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Jo-Ann Lyons 6 years ago

Error in variable testing condition

Error

Warning

Generated value: number

Parts

Gap-fill

Generated value: `number`