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.TXT 5 4 1 0 0
Cg a70.000000,70.000000,61
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red10\green36\blue106;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard {\cf2\fs36 
Using the second part of the \par fundamental theorem of Calculus}}
.EQN 10 0 65 0 0
{0:f}NAME({0:x}NAME):({0:e}NAME)^((({0:x}NAME)^(2)+2*{0:x}NAME-3))*{0:ln}NAME(({0:x}NAME)^(3)-3*{0:x}NAME+2.001)
.TXT 6 1 66 0 0
Cg a40.000000,40.000000,22
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red10\green36\blue106;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard {\cf2\fs20 
defined from -2 to 1.8}}
.EQN 0 22 67 0 0
{0:t}NAME:-2,-1.99;1.8
.EQN 1 -21 86 0 0
20&-8&(_n_u_l_l_&_n_u_l_l_)&{0:f}NAME({0:t}NAME)@1.8&-2&(_n_u_l_l_&_n_u_l_l_)&{0:t}NAME
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
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0 1 2 56 21 14 0 3 
.TXT 45 -3 89 0 0
Cg a70.875000,70.875000,59
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard MathCad cannot 
symbolically integrate the function. Try it:}
.EQN 8 1 88 0 0
(({0:x}NAME,{0:f}NAME({0:x}NAME)){67}){63}(({0:x}NAME,{0:exp}NAME(({0:x}NAME)^(2)+2.*{0:x}NAME-3.)*{0:ln}NAME(({0:x}NAME)^(3)-3.*{0:x}NAME+2.001)){67})
.TXT 7 -1 90 0 0
Cg a70.000000,70.000000,90
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;\red10\green36\blue106;}{
\fonttbl{\f0\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard {\cf2 but we 
can use the second part of the fundamental theorem to define \par an 
antiderivative  g }}
.EQN 10 1 91 0 0
{0:g}NAME({0:x}NAME):(-2&{0:x}NAME`{0:f}NAME({0:s}NAME)&{0:s}NAME)
.TXT 9 0 92 0 0
Cg a69.875000,69.875000,66
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard We don't have a closed 
formula for g, but we can still evaluate g,}
.EQN 5 2 70 0 0
{0:g}NAME(-2)={0}?_n_u_l_l_
.EQN 0 12 71 0 0
{0:g}NAME(-1)={0}?_n_u_l_l_
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{0:g}NAME(0)={0}?_n_u_l_l_
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{0:g}NAME(1)={0}?_n_u_l_l_
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{0:g}NAME(1.8)={0}?_n_u_l_l_
.TXT 6 -2 95 0 0
Cg a69.875000,69.875000,11
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard or graph g,}
.EQN 3 -1 96 0 0
_n_u_l_l_&_n_u_l_l_&(_n_u_l_l_&_n_u_l_l_)&{0:g}NAME({0:t}NAME)@1.8&-2&(_n_u_l_l_&_n_u_l_l_)&{0:t}NAME
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0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
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0 1 2 50 26 14 0 3 
.TXT 41 2 97 0 0
Cg a68.875000,68.875000,16
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\fnil Arial;}}\plain\cf1\fs28 \pard or make a table.}