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Logarithms: Solving equations 2
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Question in Julie's workspace by Julie Crowley

Solve for $x$ : $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$ .

Make sure that your choice is a solution by substituting back into the equation.
Logarithms: Solving equations 1
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Question in Julie's workspace by Julie Crowley

Solve for $x$ : $\log_{a}(x+b)- \log_{a}(x+c)=d$
Partial Fractions 2
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Question in joshua's workspace by joshua boddy

Split $\displaystyle \frac{b}{(cx + d)(px+q)}$ into partial fractions.
Partial Fractions 3 - double root
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Question in joshua's workspace by joshua boddy

No description given
Partial Fractions 1
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Question in joshua's workspace by joshua boddy

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.
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 $g(x)$ .
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 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 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 with Partial Fractions 2
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Question in joshua's workspace by joshua boddy

Split $\displaystyle \frac{b}{(cx + d)(px+q)}$ into partial fractions.
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, 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
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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 $g(x)$ .
Factorising Quadratics 5 - Completing the Square
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Question in Katie's workspace by Katie Lester

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$ .
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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