194 results for "substitution".
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Question in Blathnaid's workspace
Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$
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Question in joshua's workspace
Straightforward solving linear equations question
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Question in PA1710
Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.
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Question in Standard Maths
Students are given 2 equations of the form y=mx+b and asked to solve them using either the substitution or the elimination method. The lines are randomised but the solution coordinates are always integers.
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Question in Hayley's workspace
No description given
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Question in Hayley's workspace
No description given
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Question in Bill's workspace
Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$
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Question in Bill's workspace
Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$
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Question in Bill's workspace
Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$
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Question in Bill's workspace
Find $\displaystyle \int\frac{ax+b}{(1-x^2)^{1/2}} \;dx$. Solution involves inverse trigonometric functions.
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Question in Bill's workspace
Find $\displaystyle \int \frac{c}{\sqrt{a-bx^2}}\;dx$. Solution involves the inverse trigonometric function $\arcsin$.
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Question in Bill's workspace
Find (hyperbolic substitution):
$\displaystyle \int_{b}^{2b} \left(\frac{1}{\sqrt{a^2x^2-b^2}}\right)\;dx$ -
Question in Content created by Newcastle University
Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.
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Question in MATH 6006_2019
Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$
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Question in MATH 6006_2019
Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$
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Question in MATH6006 Integration
Integration by susbtitution. Use the letter C for the constant.
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Question in How-tos
Some clever variable-substitution trickery to randomly pick two sides of a right-angled triangle to give to a student, and ask for the other.
The sides are set up so they're always Pythagorean triples, and the opposite side is always odd.
As ever, most of the tricky stuff is in the advice.
Because this was created quickly to show how to set up the randomisation, there's no diagram. It would benefit greatly from a diagram.
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Question in Content created by Newcastle University
Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.
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Question in Content created by Newcastle University
Find (hyperbolic substitution):
$\displaystyle \int_{b}^{2b} \left(\frac{1}{\sqrt{a^2x^2-b^2}}\right)\;dx$ -
Exam (8 questions) in Content created by Newcastle University
Find an integral by choosing a suitable substitution.
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Question in Content created by Newcastle University
Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$
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Question in Content created by Newcastle University
Find $\displaystyle \int \frac{c}{\sqrt{a-bx^2}}\;dx$. Solution involves the inverse trigonometric function $\arcsin$.
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Question in Content created by Newcastle University
Find (hyperbolic substitution):
$\displaystyle \int_{b}^{2b} \left(\frac{1}{\sqrt{a^2x^2-b^2}}\right)\;dx$ -
Question in Content created by Newcastle University
Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$
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Exam (11 questions) in Paul's workspace
Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.
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Question in Calculus Math 5A
Solving integration by substitution and rearranging $u$ for $x$
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Question in Calculus Math 5A
Solving integration by substitution without help
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Question in Calculus Math 5A
Step by step solving for integration by substitution
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Question in Calculus Math 5A
Integration by susbtitution, no hint given
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Exam (7 questions) in Algebra
Collecting like terms, expanding a bracket (distributive law), substitution of values, finding factors, simplifying algebraic fractions.