These Year 13 integration techniques and differential equations multiple choice questions check your understanding of integration techniques and differential equations with 10 questions for pupils aged 17-18. Each question has four answers, and the right one is explained as soon as you choose.
Year 13 integration techniques and differential equations multiple choice questions: the 10 questions
\(\int e^{2x}dx=\)
\(\int\dfrac1{3x}dx=\)
\(\int\sin3x\,dx=\)
To integrate \(x\sin x\) you should use
\(\int\tan x\,dx=\)
With \(u=x^2+1\), \(2x\,dx\) becomes
The solution of \(\dfrac{dy}{dx}=ky\) is
The general solution of a differential equation contains
\(\int_0^\pi\sin x\,dx=\)
For \(\int x\ln x\,dx\) by parts, a good choice is
How to use these Year 13 integration techniques and differential equations multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the integration techniques and differential equations lesson.
Finally, practise more with the integration techniques and differential equations worksheet and the quiz. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.
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