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These are the Transum resources related to the statement: "Indefinite integral of x^{n},sinx,cosx,1/x and e^{x}. The composites of any of these with the linear function ax+b. Integration by inspection (reverse chain rule) or by substitution for expressions of the form: ∫kg'(x)f(g(x))dx".

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 - "
*(a) Find \( \frac{dy}{dx} \) when:*" ... 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 following diagram shows the graph of \(f(x) = \cos(e^x) \; \text{for} \; 0 \le x \le 0.5\).*" ... more - "
*Find \(f(x)\) if:*" ... more

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

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