joshua boddy

Split $\displaystyle \frac{b}{(cx + d)(px+q)}$ into partial fractions.

Split $\displaystyle \frac{ax+b}{(cx + d)(px+q)}$ into partial fractions.

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Solve for $x$ and $y$:  \[ \begin{eqnarray} a_1x+b_1y&=&c_1\\   a_2x+b_2y&=&c_2 \end{eqnarray} \]

The included video describes a more direct method of solving when, for example, one of the equations gives a variable directly in terms of the other variable.

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

Split $\displaystyle \frac{b}{(cx + d)(px+q)}$ into partial fractions.

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

Find $\displaystyle \int (ax)e^{cx}\; dx $

Find $\displaystyle \int (ax)e^{cx}\; dx $

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx $

Find $\displaystyle \int (ax+b)\cos(cx+d)\; dx $

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 $g(x)$.

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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Simplifying indices

Simplifying indices

Simplifying indices

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Quotient and remainder, polynomial division.

Quotient and remainder, polynomial division.

Students are given a graph of a cubic, and are asked to find the equation for it.

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