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These are the Transum resources related to the statement: "Introduction to integration as anti-differentiation of functions of the form f(x)=ax^{n}+bx^{n-1}+.... Anti-differentiation with a boundary condition to determine the constant term. Definite integrals using technology. Area of a region enclosed by a curve y=f(x) and the x-axis, where f(x)>0".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Here are some exam-style questions on this statement:

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*The graph of \(f(x)=8-x^2\) crosses the x-axis at the points A and B.*" ... more - "
*The acceleration, \(a\) ms*" ... more^{-2}, of an object at time \(t\) seconds is given by - "
*The following diagram shows part of the graph of:*" ... more - "
*Consider the graph of the function \(f(x)=x^2+2\).*" ... more - "
*(a) Express the algebraic fraction*" ... more - "
*Make a sketch of a graph showing the velocity (in \(ms^{-1}\)) against time of a particle travelling for six seconds according to the equation:*" ... more - "
*Find the value of \(a\) if \(\pi \lt a \lt 2\pi\) and:*" ... more - "
*This graph represents the function \(f:x\to a \cos x, a\in \mathbf N\)*" ... more - "
*Find \(f(x)\) if \(f'(x)=6 \sin2x\) and the graph of \(f(x)\) passes through the point \((\frac{\pi}{3},11)\).*" ... more - "
*The diagram shows a sketch of the curve C with equation:*" ... more - "
*The following diagram shows the graph of \(f(x) = \cos(e^x) \; \text{for} \; 0 \le x \le 0.5\).*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

This Finding Areas Under Curves video is from Revision Village and is aimed at students taking the IB Maths Standard level course

This video on Antidifferentiation is from Revision Village and is aimed at students taking the IB Maths Standard level course

This video titled Overview of Integral Calculus is from Revision Village and is aimed at students taking the IB Maths Standard level course.

If you use a TI-Nspire GDC there are instructions useful for this topic.

How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.