Integrating powers of x and reciprocals

Sample Integrating powers of x and reciprocals questions

A few of the 3 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 8
   Find $\displaystyle\int \left(\dfrac{3}{x} - 2x\right)dx$. [2]
   Show the worked solution

What are the common mistakes in Integrating powers of x and reciprocals?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Applies the standard power rule for integration/differentiation to 1/x, instead of using the special ln(x) result that applies in that case

  The power rule ("raise the power by 1, divide by the new power") FAILS for $x^{-1}=\dfrac{1}{x}$, since it would require dividing by $0$

Quick answers about Integrating powers of x and reciprocals

How many Integrating powers of x and reciprocals practice questions are there?

There are 3 self-marking Additional Maths Maths questions on Integrating powers of x and reciprocals, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.

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No. You can start practising Integrating powers of x and reciprocals straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.