Basic integration 1

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Martin Jones

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Ready to use

4 years ago

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Martin Jones 4 years ago

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Martin Jones 4 years ago

Gave some feedback: Ready to use

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Martin Jones 8 years, 3 months ago

Created this as a copy of Definite integration.

Name	Status	Author	Last Modified
Definite integration	Ready to use	Martin Jones	24/03/2022 13:48
Basic integration 1	Ready to use	Martin Jones	14/07/2022 14:21
Integration	Ready to use	Shaheen Charlwood	27/10/2022 18:51

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Question statement

Integrate each of the following basic functions indefinitely.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	1
b	integer	3
c	integer	-5
d	integer	2

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(1..8)

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:

Advice
"Part a)" - prompt
"Part a)" - Correct answer
"Part a)" → "No constant" - Correct answer
"Part b)" - prompt
"Part b)" - Correct answer
"Part b)" → "No constant" - Correct answer
"Part c)" - prompt
"Part c)" - Correct answer
"Part c)" → "No constant" - Correct answer
"Part d)" - prompt
"Part d)" - Correct answer
"Part d)" → "No constant" - Correct answer
"Part e)" - prompt
"Part e)" - Correct answer
"Part e)" → "No constant" - Correct answer

Advice

$\int\simplify[all]{{a}+{b}*cos(x)}\,dx=\simplify{{a}*x+{b}*sin(x)+c}$
$\int\simplify[all]{{c}x+{b}*exp({a}*x)}\,dx=\simplify{{c/2}*x^2+{b/a}*exp({a}*x)+c}$
$\int\simplify[all]{{c+1}*sin({b}*x)-{a}/x}\,dx=\simplify{{-(c+1)/b}*cos({b}*x)-{a}*ln(x)+c}$
$\int\simplify[all]{{c}/(x^2)+{b+1}/{a+1}*x^{b}}\,dx=\simplify{{-c}/x+{1/(a+1)}*x^{b+1}+c}$
$\int\simplify[all]{{b+2}*x^{b-1}-{d}*sinh(x)+{c}*exp({a}*x)}\,dx=\simplify{{1+2/b}*x^{b}-{d}*cosh(x)+{c/a}*exp({a}*x)+c}$

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Martin Jones 4 years ago

Martin Jones 4 years ago

Martin Jones 8 years, 3 months ago

Error in variable testing condition

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Generated value: `integer`

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Mathematical expression

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Basic integration 1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Martin Jones 4 years ago

Martin Jones 4 years ago

Martin Jones 8 years, 3 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`