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These are the Transum resources related to the statement: "Definite integrals, including analytical approach. Areas of a region enclosed by a curve y=f(x) and the x-axis, where f(x) can be positive or negative, without the use of technology. Areas between 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:

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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 - "
*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 - "
*Let \(f(x) = \frac{ln3x}{kx} \) where \( x \gt 0\) and \( k \in \mathbf Q^+ \).*" ... 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.

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