Basic Indefinite Integration with Anti-Chain Rule

Error

There was an error loading the page.

Contributors

History

○

Johnny Yi 6 years, 4 months ago

Created this as a copy of Luis's copy of Indefinite integration using standard integrals.

Name	Status	Author	Last Modified
Indefinite integration using standard integrals	draft	Newcastle University Mathematics and Statistics	20/11/2019 14:50
Luis's copy of Indefinite integration using standard integrals	draft	Luis Hernandez	30/11/2018 18:40
Basic Indefinite Integration with Anti-Chain Rule	draft	Johnny Yi	19/12/2018 01:21
Jean jinhua's copy of Basic Indefinite Integration with Anti-Chain Rule	draft	Jinhua Mathias	27/08/2024 16:37
Simon's copy of Indefinite integration using standard integrals	draft	Simon Thomas	20/03/2019 13:50
Indefinite integration using standard integrals	draft	Thomas Waters	11/09/2019 22:25

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

Question statement

Integrate the following function $f(x)$ .

You must input the constant of integration as $C$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	-5
b	integer	-7
s3	integer	1
s2	integer	-1
s1	integer	-1
s5	integer	1
s4	integer	-1
a1	integer	4
a2	integer	-7
b1	integer	7
c3	integer	4

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
s1*random(2..5)

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: `integer`

-5

← Depends on:

→ Used by:

Advice
"Unnamed part" - prompt
"Unnamed part" → "Unnamed gap" - Correct answer

Parts

Gap-fill
1. Gap Mathematical expression
  Add
1. Step Information only

Gap-fill

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

$\simplify[std]{f(x) = {b} * e ^ ({a}*x) + {b1} * Sin({a1}*x) + {a2} * x ^ {c3}}$

$\displaystyle \int\;f(x)\,dx=\;$ Unnamed gap

Enter all numbers as integers or fractions and not as decimals.

Advice

Splitting the integral into three parts and using the information in Steps we have:

$\begin{eqnarray*}\simplify[std]{Int({b} * e ^ ({a}*x) + {b1} * Sin({a1}*x) + {a2} * x ^ {c3},x)}&=&\simplify[std]{Int({b} * e ^ ({a}*x),x)+Int({b1} * Sin({a1}*x),x)+Int({a2} * x ^ {c3},x) }\\ &=&\simplify[std]{({b}/{a}) * (e ^({a}*x)) + (({(-b1)}/{a1}) * Cos({a1}*x)) + ({a2}/{c3+1}) * (x ^ {(c3 + 1)})+C} \end{eqnarray*}$

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
Mathematical expression
Mathematical expression		Hasn't run yet
Information only

This question is used in the following exams:

Loading...

Error

Basic Indefinite Integration with Anti-Chain Rule

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Johnny Yi 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

Loading...

Error

Basic Indefinite Integration with Anti-Chain Rule

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Johnny Yi 6 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`