Basic indefinite integrals, Basic definite integrals, integration by substitution

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Integration by Parts

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Indefinite Integrals

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Definite Integrals

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Antiderivatives

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3 questions on factorising quadratics. The second question also asks for the roots of the quadratic. The third question involves factorising quartic polynomials but which are quadratics in $x^2$.

5 indefinite integrals containing exponential functions

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Integration by Substitution

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Definite Intgerals

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Definite Integrals

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Antiderivatives

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Trigonometric Integral

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Integration using partial fractions

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Partial Fractions

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Integration by parts

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Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

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In the Gaussian integer ring $\mathbb{Z}[i]$ , find the remainder $r=r_1+r_2i$, where $a \gt 0,\;b \gt 0$ , on dividing $a+bi$ by $c+di$ .

Questions on linear programming techniques, with interactive graphics.

Income tax

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Find angle and side in a right angled triangle.

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2 Converting Radians to Degrees

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Converting Degrees to Radians

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Given percentages of males and females working on a project, and the percentage of the total staff who are male (or female), find the percentage of all staff working on the project.

Based on question 3 from section 3 of the maths-aid workbook on numerical reasoning.

Added to calculator test.

Added advice on using decimals.

Scale a page to some percentage of its original size, then increase/decrease by another percentage. Find the size of the final copy as a percentage of the original.

Based on question 2 from section 3 of the Maths-Aid workbook on numerical reasoning.

(Added a decimal version to advice - and changed increased to enlarged)

Used in non-calculator quiz.

Given the stakes of three people in a lottery syndicate, and the amount the syndicate won, work out each person's share of the winnings.

Based on question 4 from section 3.2 of the Maths-Aid workbook on numerical reasoning.

(Used in Non-Calculator test.)

Given the selling price of an item both as a cash amount and as a percentage of the cost of production, find the cost of production and the profit.

Based on question 1 from section 3 of the Maths-Aid workbook on numerical reasoning.

Added to Calculator test.

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ by differentiating an implicit equation.

Reading information from the equation of the line. Graph shown

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Reading information from the equation of the line. Graph shown

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Based on section 3 of the maths-aid/mathcentre workbook on numerical reasoning.