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These are the Transum resources related to the statement: "Evaluate definite integrals; use a definite integral to find the area under a curve and the area between two curves".

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:

- "
*(a) Find \(\int (4x+5) dx\).*" ... more - "
*A particle moves in a straight line. During the first nine seconds the velocity, \(v\) ms*^{-1}of the particle at time \(t\) seconds is given by:$$ v(t) = t \cos(t+5) $$

*The following diagram shows the graph of v:*" ... more - "
*The function \(f\) is defined by \(f(x) = 8 - 5 \sin{x} \), for \( x \ge 0 \).*" ... more - "
*The diagram shows part of the graph of \(f(x)=Ae^{kx}+2\).*" ... more - "
*Consider the graph of the function \(f(x)=x^2+2\).*" ... 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 - "
*Let \(f(x) = \frac{ln3x}{kx} \) where \( x \gt 0\) and \( k \in \mathbf Q^+ \).*" ... 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

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.