Jo-Ann Lyons

Find roots and the area under a parabola

Definite Integrals

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Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$

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

Simple Indefinite Integrals

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

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Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Simple Indefinite Integrals

Indefinite Integrals

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Find roots and the area under a curve

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Indefinite Integrals

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rebelmaths

Simple Indefinite Integrals

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place. 

Transposition of formulae. Changing the subject of an equation. 

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6 questions which introduce the user to the Numbas system.

Practice with adding, subtracting and dividing basic algebraic fractions

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

Several problems involving the multiplication of fractions, with increasingly difficult examples, including a mixed fraction and a squared fraction. The final part is a word problem.