Search - Numbas at mathcentre.ac.uk

58 results.

Integral of improper polynomial fraction
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $\displaystyle \int \frac{nx^3+mx^2+nx + p}{1+x^2}\;dx$ . Solution involves $\arctan$ .
Definite integration using standard integrals
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Calculate definite integrals: $\int_0^\infty\;e^{-ax}\,dx$ , $\int_1^2\;\frac{1}{x^{b}}\,dx$ , $\; \int_0^{\pi}\;\cos\left(\frac{x}{2n}\right)\,dx$
Indefinite integration using standard integrals
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$ . Must input $C$ as the constant of integration.
Integration by parts
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx$ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$
Integration By Parts
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Integrating by parts.

Find $\int ax\sin(bx+c)\;dx$ or $\int ax e^{bx+c}\;dx$
Trigonometric functions of a triangle
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Questions on right-angled triangles asking for the calculation of angles using inverse-trigonometrical functions.
Differentiation: Product rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $\sin(ax+b) e ^ {nx}$ .
Differentiation: Product rule
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $x^m\cos(ax+b)$
Differentiate product of trig function and binomial
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Differentiate $(a+bx) ^ {m} \sin(nx)$
Solve a second order ODE with repeated roots,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+a^2y=0,\;y(0)=c$ and $y(1)=d$ . (Equal roots example).
Second order ODE with constant coefficients and boundary conditions
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solve: $\displaystyle \frac{d^2y}{dx^2}+2a\frac{dy}{dx}+(a^2+b^2)y=0,\;y(0)=1$ and $y'(0)=c$ .
Exact values for sin, cos, tan (acute, degrees)
Ready to use
Question in Trigonometry by Ben Brawn

multiple choice testing sin, cos, tan of random(30, 45, 60) degrees
Julie's copy of Indefinite integral by substitution
Draft
Question in Julie's workspace by Julie Crowley

Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$
Julie's copy of Indefinite integral
Draft
Question in Julie's workspace by Julie Crowley

Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$ .
Indefinite integral by substitution
Draft
Question in Julie's workspace by Julie Crowley

Find $\displaystyle \int\frac{ax+b}{(1-x^2)^{1/2}} \;dx$ . Solution involves inverse trigonometric functions.

rebelmaths
Q3 Solve for x and y on a given triangle
Draft
Question in David's workspace by TEAME CIT

Find angle and side in a right angled triangle.

rebelmaths
Identidades pitagoricas
Draft
Question in 1 Trigo by Marlon Arcila

Using $\cos^2\theta+\sin^2\theta=1$ to evaluate expressions.
Trigonometry and vectors: Find approx lengths of components
Ready to use
Question in Trigonometry by Ben Brawn

No description given
Integration by parts 2 - cos and sin
Ready to use
Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$
Integration by parts 4 - logarithm
Ready to use
Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)\ln(cx)\; dx$
Integration by parts 2 - cos and sin with limits 19/10
Ready to use
Question in Katie's workspace by Katie Dexter

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$
Integration by parts 3 - exponential
Ready to use
Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)e^{cx}\; dx$
Integration by parts 2 - cos and sin with limits
Ready to use
Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$
Integration by parts 4 - logarithm with limits
Ready to use
Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)\ln(cx)\; dx$
Integration by parts 3 - exponential with limits
Ready to use
Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)e^{cx}\; dx$
Integration by parts
Ready to use
Question in Bill's workspace by Bill Foster

Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx$ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$
Integration by parts
Ready to use
Question in Bill's workspace by Bill Foster

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$ and hence find $\displaystyle \int (ax+b)^2\sin(cx+d)\; dx$
Don's copy of Trigonometry: Right angled: Find exact angles
Ready to use
Question in Don's workspace by Don Shearman

No description given

Show results for Show results for

Refine by Refine by

Status

Author

Tags

Usage rights

Ability Level

Topics