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Question 2
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Question in TEAME's workspace by TEAME UCC

indefinite integration

Find $\displaystyle \int ax ^ m+ bx^{c/n}\;dx$ .

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Andrew's copy of CF Maths In class test three question 8 Integration by partial fractions with limits
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Question in Andrew's workspace by Andrew Dunbar

Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d$ .
YJ's copy of Numbas demo: video
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Question in YJ's workspace by YJ Kim

Customised for the Numbas demo exam

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

Video in Show steps.
Phil's copy of Integration by parts, Exponential 20/10
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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
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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 $g(x)$ .
Katie's copy of Integration 1 - Substitution
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Question in Katie's workspace by Katie Dexter

Step by step solving for integration by substitution
Integration by parts
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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, Exponential 31/10
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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
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Question in Katie's workspace by Katie Dexter

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$
Integration by parts - Ch 1
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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
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Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)e^{cx}\; dx$
Integration by parts 4 - logarithm with limits
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Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax)\ln(cx)\; dx$
Integration by parts 2 - cos and sin with limits
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Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$
Integration by parts 1 with limits
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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 2 - cos and sin
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Question in joshua's workspace by joshua boddy

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$
Integration by parts 1
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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 4 - logarithm
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Question in joshua's workspace by joshua boddy

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

Find $\displaystyle \int (ax)e^{cx}\; dx$
Integration 1 - Substitution (with limits)
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Question in Katie's workspace by Katie Lester

Step by step solving for integration by substitution
Integration by parts
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Question in Bill's workspace by Bill Foster

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx$ and hence find $\displaystyle \int (ax+b)^2\sin(cx+d)\; dx$
Integration by parts
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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
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Question in Bill's workspace by Bill Foster

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 partial fractions
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Question in Bill's workspace by Bill Foster

Find $\displaystyle\int \frac{a}{(x+b)(x+c)}\;dx,\;b \neq c$ .
Integration by partial fractions
Ready to use
Question in Bill's workspace by Bill Foster

Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d$ .
Integration 1 - Substitution
Ready to use
Question in Katie's workspace by Katie Lester

Step by step solving for integration by substitution
Integration by partial fractions. (Video)
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Question in Bill's workspace by Bill Foster

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

Video in Show steps.
Ch1: Integration by parts
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Question in Graham's workspace by Graham Wynn

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 $g(x)$ .

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