305 results for "integral".

Exam (4 questions) in mathcentre
4 questions on using partial fractions to solve indefinite integrals.

Question in Arini's workspace
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Question in Clodagh's workspace
Simple Indefinite Integrals

Question in Clodagh's workspace
Simple Indefinite Integrals

Question in Arini's workspace
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Question in Arini's workspace
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Question in Brian's workspace
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Question in Blathnaid's workspace
Simple Indefinite Integrals

Question in Clodagh's workspace
Simple Indefinite Integrals

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.

Question in Clodagh's workspace
Simple Indefinite Integrals

Question in MATH 6006_2019
Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Question in MATH 6006_2019
Simple Indefinite Integrals

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.

Question in All questions
Q1. True/false questions about basic facts.
Q2 and Q3. Velocitytime 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.

Question in All questions
Graphs are given with areas underneath them shaded. The area of the shaded regions are given and from this the value of various integrals are to be deduced.

Question in MATH 6006_2019
Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$

Question in MATH 6006_2019
Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$

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

Question in Content created by Newcastle University
(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2by \right)\;dx+\left(cy^2+px\right)\;dy$.

Question in Content created by Newcastle University
Two double integrals with numerical limits

Question in Content created by Newcastle University
Calculate a repeated integral of the form $\displaystyle I=\int_0^1\;dx\;\int_0^{x^{m1}}mf(x^m+a)dy$
The $y$ integral is trivial, and the $x$ integral is of the form $g'(x)f'(g(x))$, so it straightforwardly integrates to $f(g(x))$.

Question in Content created by Newcastle University
3 Repeated integrals of the form $\int_a^b\;dx\;\int_c^{f(x)}g(x,y)\;dy$ where $g(x,y)$ is a polynomial in $x,\;y$ and $f(x)$ is a degree 0, 1 or 2 polynomial in $x$.

Question in Content created by Newcastle University
Double integrals (2) with numerical limits

Question in Content created by Newcastle University
Find $\displaystyle \int_{\Gamma} \left(x+y \right)\;dx+\left(yx\right)\;dy,\;\Gamma$ is the line from $(0,0)$ to $(a,b)$.

Question in Content created by Newcastle University
Approximating integral of a quadratic by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.

Question in Content created by Newcastle University
Approximating integral of a quadratic by Riemann sums . Will include an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.

Question in Content created by Newcastle University
Approximating integral of a quadratic by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.

Question in Content created by Newcastle University
Approximating integral of a linear function by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.

Question in Content created by Newcastle University
Approximating integral of a linear function by Riemann sums . Includes an interactive graph in Advice showing the approximations given by the upper and lower sums and how they vary as we increase the number of intervals.