194 results for "substitution".
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution.
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Question in Skills Audits for Maths and Stats
Substitute values into an algebraic expression and calculate the result.
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Question in How-tos
This shows how to define a list of LaTeX strings, and pick a couple of them at random to display.
The "JSON data" type is used to define the available strings, so they're automatically marked as "safe" and curly braces aren't interpreted as variable substitution.
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Exam (19 questions) in HELM books
HELM Book 1.5 Formulae and substitution exercises.
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Question in HELM books
HELM Book 1.5.1: using formulae and substitution: task 1
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Exam (11 questions) in Martin's workspace
Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.
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Question in Maura's workspace
A straightforward test of encrypting and decrypting an eight-letter message with the Substitution Cipher. Message letters are generated uniformly at random from the English alphabet and the key is a uniformly chosen random permutation of the alphabet. Students are expected to be able to map English letters onto elements of $\mathbb{Z}_{26}$ in the usual order.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $4ax(ax^2+b)^n$ using integration by substitution.
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Question in MASH Bath: Question Bank
Simple substitution into an algebraic expression. Includes powers, division, mulitplication, brackets. Includes subscripts.
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Question in John's workspace
Use a substitution to simplify an integral.
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Question in Clodagh's workspace
Integration by susbtitution. Use the letter C for the constant.
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Question in Content created by Newcastle University
Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $\cos(x) \sin^2(x)$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $2ax(ax^2+b)^n$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $n x e^{ax^2}$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $2ax(ax^2+b)^n$ using integration by substitution. $n$ is a positive or negative fraction.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $e^x \sin(e^x)$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $ax \cos(x^2+b)$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $kx e^{ax^2}$ using integration by substitution, where $k=2na$.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $kx e^{ax^2}$ using integration by substitution, where $k=2a$.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $\frac{\cos(x)}{\sin(x)+a}$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $\frac{\cos(x) \sin(x)}{(\sin(x)+a)^2}$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $\frac{nx^{n-1}}{x^n+a}$ using integration by substitution. $n$ is a positive or negative fraction.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $\frac{k(2ax+b)}{ax^2+bx+c}$ using integration by substitution.
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Question in MASH Bath: Question Bank
Calculating the integral of a function of the form $x(ax^2+b)^n$ using integration by substitution.
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Question in NursingChecking if a student can substitute into an equation. This is a nursing calculation question. Solution is given for with a calculator and without a calculator, however the point of this question is really substitution.
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Exam (5 questions) in .Integral Calculus
5 questions on indefinite integration. Includes integration by parts and integration by substitution.
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Exam (11 questions) in A-Level Chemistry (AQA ,OCR ,Edexcel ,CIE and CCEA)
Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.
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Exam (8 questions) in Kuldeep's workspace
This is a formative assessment and your score is not recorded. This tests assess integration by substitution. You should be able to use the appropriate substution and then use the integral table.