462 results for "integration".

Question in Bill's workspace
Factorise $x^2+bx+c$ into 2 distinct linear factors and then find $\displaystyle \int \frac{a}{x^2+bx+c }\;dx$ using partial fractions or otherwise.

Question in Engineering Statics
Find the area, first moment of area, and coordinates of a general spandrel. The area may be above or below the function.

Question in 1202
No description given

Question in Engineering Statics
Find roots and the area under a parabola

Question in Engineering Statics
Given a random spandrel, find the expressions for the differential elements of area and the coordinates of its centroid needed to determine the location of the centroid by integration.

Exam (13 questions) in Martin's workspace
Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Question in PA1710
Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.

Question in PA1710
Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$

Question in PA1710
Students must find $\int \frac{1}{xa} \, dx$.

Question in Bill's workspace
Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Question in Bill's workspace
Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$.

Question in Bill's workspace
Find $\displaystyle \int ax ^ m+ bx^{c/n}\;dx$.

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.

Question in Bill's workspace
Find $\displaystyle \int\cosh(ax+b)\;dx,\;\;\int x\sinh(cx+d)\;dx$

Question in Christian's workspace
Finding areas under graphs using definite integration.

Question in Bill's workspace
Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

Question in Bill's workspace
Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$.

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.

Question in Ruth's workspace
Evaluate $\int_0^{\,m}e^{ax}\;dx$, $\int_0^{p}\frac{1}{bx+d}\;dx,\;\int_0^{\pi/2} \sin(qx) \;dx$.
No solutions given in Advice to parts a and c.
Tolerance of 0.001 in answers to parts a and b. Perhaps should indicate to the student that a tolerance is set. The feedback on submitting an incorrect answer within the tolerance says that the answer is correct  perhaps there should be a different feedback in this case if possible for all such questions with tolerances.

Question in All questions
Standard simple integrals asked for (1/x, sin(x), cos(x), x^2, x, e^x)

Question in All questionsMulti choice question week 3

Exam (3 questions) in ENG1002  Matlab Lab 4: Differentiation, Integration, Solving Differentiation equations
No description given

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

For ENG1002  Matlab Lab 4: Differentiation, Integration, Solving Differentiation equations.

For ENG1002  Matlab Lab 4: Differentiation, Integration, Solving Differentiation equations.

For ENG1002  Matlab Lab 4: Differentiation, Integration, Solving Differentiation equations.

Question in Christian's workspace
A sneak peek at a really clever integration of GeoGebra with Numbas.

Question in Clodagh's workspace
Integration by susbtitution, no hint given

Question in Clodagh's workspace
Integration by susbtitution, no hint given

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 xaxis.