These Further Maths further calculus multiple choice questions check your understanding of further calculus with 10 questions for pupils aged 16-18. Each question has four answers, and the right one is explained as soon as you choose.
Further Maths further calculus multiple choice questions: the 10 questions
\(\int_1^\infty\dfrac1{x^2}dx=\)
\(\int_1^\infty\dfrac1{\sqrt x}dx\):
\(\int_0^1\dfrac1{x^{1/3}}dx=\)
The volume formed by rotating \(y=2\) for \(0\le x\le3\) about the \(x\)-axis is:
\(\int\dfrac1{\sqrt{9-x^2}}dx=\)
\(\int\dfrac1{4+x^2}dx=\)
The mean value of \(f(x)=2x\) on \([1,3]\) is:
For the region between \(y=f(x)\) and \(y=g(x)\) (\(f\ge g\ge0\)) rotated about the \(x\)-axis, \(V=\)
\(\lim_{x\to0^+}x\ln x=\)
\(\dfrac d{dx}\arctan x=\)
How to use these Further Maths further calculus 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 further calculus lesson.
Finally, practise more with the further calculus 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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