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These are the Transum resources related to the statement: "Integrate x^{n} (excluding n = -1) and related sums, differences and constant multiples.

Integrate e^{kx}, 1/x, sin kx , cos kx and related sums, differences and constant multiples".

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:

- "
*The acceleration, \(a\) ms*" ... more^{-2}, of an object at time \(t\) seconds is given by - "
*(a) Find \(\int (4x+5) dx\).*" ... more - "
*(a) Find \( \frac{dy}{dx} \) when:*" ... more - "
*The function \(f\) is defined by \(f(x) = 8 - 5 \sin{x} \), for \( x \ge 0 \).*" ... more - "
*The following diagram shows part of the graph of:*" ... more - "
*Consider the graph of the function \(f(x)=x^2+2\).*" ... more - "
*This graph represents the function \(f:x\to a \cos x, a\in \mathbf N\)*" ... more - "
*Let \(f(x) = \frac{ln3x}{kx} \) where \( x \gt 0\) and \( k \in \mathbf Q^+ \).*" ... more - "
*The diagram shows a sketch of the curve C with equation:*" ... more

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

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

This video on Integration Rules is from Revision Village and is aimed at students taking the IB Maths AA SL/HL course.

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.