Part I. The Mathematica Notebook

Section 1. Cell structure: Input/Output

2.* Simplify the square root of 19,220 by entering and executing

Sqrt[19220]

In[1]:=

Sqrt[19220]

Out[1]=

62 5^(1/2)

Then obtain the integer factorization of 19220 by entering and executing

FactorInteger[19220]

In[2]:=

FactorInteger[19220]

Out[2]=

{{2, 2}, {5, 1}, {31, 2}}

The output means that 19220 = 2^2 * 5 * 31^2

3. * Obtain the integral of the expression e^(3 x) cos(2 x) sin(4 x). You may enter it into the Integrate function as follows

Integrate[  Exp[3x] Cos[2x] Sin[4x],  x ]

In[3]:=

Integrate[ Exp[3x]Cos[2x]Sin[4x],x]

Out[3]=

1/390 ^(3 x) (-30 Cos[2 x] - 26 Cos[6 x] + 45 Sin[2 x] + 13 Sin[6 x])

Section 2. Mixing Text and Mathematics

16.* Save your Notebook (Command-S) then print it.
See the pdf file entitled My2ndNotebook.nb.


Created by Mathematica  (December 8, 2004)