What is …? Integral edition.

\[ \newcommand{\dnorm}{\text{dnorm}} \newcommand{\pnorm}{\text{pnorm}} \newcommand{\recip}{\text{recip}} \]

Exercise 1  

  1. What is \[\int_0^3 x^2 dx\ \text{?}\]
\(x^3/3\)       \(2x\)       6       9       a function of \(x\)      

question id: what-is-1

  1. What is \[\int_0^u x^2 dx\ \text{?}\]
\(x^3/3\)       \(u^3/3\)       6       9       a function of \(x\)      

question id: what-is-2

  1. What is \[\int_v^u x^2 dx\ \text{?}\]
\(x^3/3\)       \(u^3/3\)       6       9       a function of \(u\) and \(v\)      

question id: what-is-3

  1. What is \[\int_0^3 u^2 dx\ \text{?}\]
\(x^3/3\)       \(3 u^2\)       6       9       a function of \(x\)      

question id: what-is-4

  1. What is \[\int_0^\pi \cos(2x) dx\ \text{?}\]
\(\sin(2x) / 2\)       -1       0       1       a function of \(x\)      

question id: what-is-5

  1. What is \[\int_0^3 \sin(\pi t) dt\ \text{?}\]
\(-\cos(\pi t) / \pi\)       \[\frac{2}{\pi}\]       0       \[-\frac{2}{\pi}\]       a function of \(t\)      

question id: what-is-6

  1. What is \[\int_0^4 x\, u^2 dx\ \text{?}\]
\(x^2/2\)       \(8 u^2\)       8       16       a function of \(x\)      

question id: what-is-7

8.What is \[\int_0^u x\, u^2 dx\ \text{?}\]

\(x^2/2\)       \(u^4 / 2\)       8       16       a function of \(x\)      

question id: what-is-8

Exercise 2 What’s the numerical value of \[\int^{4}_{1} e^{2x} dx ?\]

0.58       6.32       20.1       27.29       53.6       107.9       1486.8      

question id: elm-blow-lamp

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