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34 results.

Leicester: Integration 3
Draft
Question in Bill's workspace by Bill Foster

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$ and hence find $\displaystyle \int (ax+b)^2\sin(cx+d)\; dx$

Also two other questions on integrating by parts.
Hyperbolic Functions 3
Draft
Question in Bill's workspace by Bill Foster

Find $\displaystyle \int\cosh(ax+b)\;dx,\;\;\int x\sinh(cx+d)\;dx$
Definite Integration 2
Draft
Question in Bill's workspace by Bill Foster

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

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$ , $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$ , $\int_0^{r}x ^ {2}e^{t x}\;dx$
Input 1 PSY
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Entering numbers in Numbas, Part 1.
Definite integration using standard integrals
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$ , $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$ , $\int_0^{r}x ^ {2}e^{t x}\;dx$
Integration by parts
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$ and hence find $\displaystyle \int (ax+b)^2\sin(cx+d)\; dx$
Integration by parts
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given $\displaystyle \int (ax+b)e^{cx}\;dx =g(x)e^{cx}+C$ , find $g(x)$ . Find $h(x)$ , $\displaystyle \int (ax+b)^2e^{cx}\;dx =h(x)e^{cx}+C$ .
Find indefinite integrals of hyperbolic functions
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Find $\displaystyle \int\cosh(ax+b)\;dx,\;\;\int x\sinh(cx+d)\;dx$ .

Advice tidied up.
How to enter numbers and algebraic symbols - Getting Started
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Entering numbers and algebraic symbols in Numbas.
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 $\int ax e^{bx+c}\;dx$
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

Given that $\displaystyle \int x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$ , find $g(x)$ .
Fourier series primer
Ready to use
Question in John's workspace by John Steele

A question to test integration by parts in a "pre-Fourier series" setting.
Julie's copy of Definite integration 1
Draft
Question in Julie's workspace by Julie Crowley

Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$ , $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$ , $\int_0^{r}x ^ {2}e^{t x}\;dx$

rebelmaths
Input 1
Ready to use
Question in Christian's workspace by Christian Lawson-Perfect

Entering numbers and algebraic symbols in Numbas.
Phil's copy of Integration by parts, Exponential 20/10
Ready to use
Question in Phil's workspace by Phil Barker

Given $\displaystyle \int (ax+b)e^{cx}\;dx =g(x)e^{cx}+C$ , find $g(x)$ . Find $h(x)$ , $\displaystyle \int (ax+b)^2e^{cx}\;dx =h(x)e^{cx}+C$ .
Katie's copy of Integration by parts
Ready to use
Question in Katie's workspace by Katie Dexter

Given that $\displaystyle \int x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$ , find $g(x)$ .
Integration by parts 1 with limits
Ready to use
Question in joshua's workspace by joshua boddy

Given that $\displaystyle \int^i_j x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$ , find $g(x)$ .
Integration by parts
Ready to use
Question in Bill's workspace by Bill Foster

Given $\displaystyle \int (ax+b)e^{cx}\;dx =g(x)e^{cx}+C$ , find $g(x)$ . Find $h(x)$ , $\displaystyle \int (ax+b)^2e^{cx}\;dx =h(x)e^{cx}+C$ .
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 4 - logarithm
Ready to use
Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)\ln(cx)\; dx$
Integration by parts 1
Ready to use
Question in joshua's workspace by joshua boddy

Given that $\displaystyle \int x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$ , find $g(x)$ .
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 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, Exponential 31/10
Ready to use
Question in Katie's workspace by Katie Dexter

Given $\displaystyle \int (ax+b)e^{cx}\;dx =g(x)e^{cx}+C$ , find $g(x)$ . Find $h(x)$ , $\displaystyle \int (ax+b)^2e^{cx}\;dx =h(x)e^{cx}+C$ .
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 - Ch 1
Ready to use
Question in Katie's workspace by Katie Dexter

Given that $\displaystyle \int x({ax+b)^{m}} dx=\frac{1}{A}(ax+b)^{m+1}g(x)+C$ for a given integer $A$ and polynomial $g(x)$ , find $g(x)$ .
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 4 - logarithm with limits
Ready to use
Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)\ln(cx)\; dx$

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