523 results for "integration".
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Question in PA1710
Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$
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Question in PA1710
Students must find $\int \frac{1}{x-a} \, dx$.
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Question in Bill's workspace
Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$
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Question in Bill's workspace
Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$.
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Question in Bill's workspace
Find $\displaystyle \int ax ^ m+ bx^{c/n}\;dx$.
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Question in Bill's workspace
Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx $ and hence find $\displaystyle \int (ax+b)^2\sin(cx+d)\; dx $
Also two other questions on integrating by parts.
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Question in Bill's workspace
Find $\displaystyle \int\cosh(ax+b)\;dx,\;\;\int x\sinh(cx+d)\;dx$
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Question in Bill's workspace
Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$
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Question in Bill's workspace
Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$.
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Question in Christian's workspace
Finding areas under graphs using definite integration.
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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 All questions
Standard simple integrals asked for (1/x, sin(x), cos(x), x^2, x, e^x)
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Exam (3 questions) in ENG1002 - Matlab Lab 4: Differentiation, Integration, Solving Differentiation equations
No description given
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Exam (4 questions) in mathcentre
4 questions on using partial fractions to solve indefinite integrals.
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For ENG1002 - Matlab Lab 4: Differentiation, Integration, Solving Differentiation equations.
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For ENG1002 - Matlab Lab 4: Differentiation, Integration, Solving Differentiation equations.
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For ENG1002 - Matlab Lab 4: Differentiation, Integration, Solving Differentiation equations.
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Question in Christian's workspace
A sneak peek at a really clever integration of GeoGebra with Numbas.
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Question in Clodagh's workspace
Integration by susbtitution, no hint given
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Question in Clodagh's workspace
Integration by susbtitution, no hint given
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Question in All questions
A function of the form (ax+b)/(x+c) is plotted. Student is asked to calculate the shaded area. Area is both above and below the x-axis.
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Question in Anna's workspace
Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.
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Question in Integration IIIQuiz 8
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Question in All questions
Question is to calculate the area bounded by a cubic and the $x$-axis. Requires finding the roots by solving a cubic equation. Calculator question
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Question in All questions
Function $f(x) = xe^{ax}$ is sketched and area shaded. Question is to determine the area under graph, exactly and (calculator) to 3 s.f. Area is above x-axis.
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Question in All questions
Graphs are given with areas underneath them shaded. The student is asked to select the correct integral which calculates its area.
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Question in All questions
Q1. True/false questions about basic facts.
Q2 and Q3. Velocity-time graphs are given with areas underneath them shaded. The area of the shaded regions are given. From this, definite integrals of v ar eto be determined.
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Question in MATH6006 Integration
Integration by susbtitution. Use the letter C for the constant.
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Question in Shivendra's workspace
A graph is drawn. A student is to identify the derivative of this graph from four other graphs.
Version I. Graph is quadratic
Version II. Graph is horizontal
Version III. Graph is cubic
Version IV. Graph is sinusoidal
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Question in Content created by Newcastle University
Multiple response question (2 correct out of 4) covering properties of Riemann integration. Selection of questions from a pool.