Integrating standard forms (ax+b)

Sample Integrating standard forms (ax+b) questions

A few of the 7 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 8
   Find $\displaystyle\int \sin(4x - 1)\,dx$. [2]
   Show the worked solution

   $\displaystyle\int\sin(4x-1)\,dx = -\dfrac{1}{4}\cos(4x-1) + c$

What are the common mistakes in Integrating standard forms (ax+b)?

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.

• Integrates a composite function without dividing by the coefficient of x inside it, forgetting to reverse the chain rule

  Integrating $\dfrac{1}{ax+b}$ gives $\dfrac{1}{a}\ln(ax+b)+c$

Quick answers about Integrating standard forms (ax+b)

How many Integrating standard forms (ax+b) practice questions are there?

There are 7 self-marking Additional Maths Maths questions on Integrating standard forms (ax+b), 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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