\( \DeclareMathOperator{\abs}{abs} \newcommand{\ensuremath}[1]{\mbox{$#1$}} \)
Lab sheet 7
| --> | y : integrate ( ( ( x ^ 3 + 1 ) / ( x ^ 2 + 1 ) ) ^ 3 , x ) $ |
| --> | wxplot2d ( [ y , x ^ 4 / 4 ] , [ x , 1 , 10 ] , [ legend , "y" , "x^4/4" ] ) ; |
\[\operatorname{ }\]
\[\operatorname{ }\]
| --> | kill ( y ) $ |
| --> | assume ( c > 0 ) $ assume ( d > 0 ) $ |
| --> | y : integrate ( ( a · x ^ 2 + b ) / ( c · x ^ 2 + d ) , x ) ; |
\[\operatorname{(y) }\frac{a x}{c}-\frac{\left( 2 a d-2 b c\right) \operatorname{atan}\left( \frac{\sqrt{c} x}{\sqrt{d}}\right) }{2 {{c}^{\frac{3}{2}}} \sqrt{d}}\]
| --> | limit ( y / x , x , inf ) ; |
\[\operatorname{ }\frac{a}{c}\]
| --> | integrate ( x / ( x ^ 2 + 1 ) , x ) ; |
\[\operatorname{ }\frac{\log{\left( {{x}^{2}}+1\right) }}{2}\]
| --> |
b
:
random
(
11
)
−
5
$
c
:
random
(
11
)
−
5
$
y : x ^ 2 + b · x + c ; Δ : b ^ 2 − 4 · c ; I : integrate ( 1 / y , x ) ; wxplot2d ( y , [ x , − 10 , 10 ] , [ box , false ] , [ axes , solid ] ) ; |
\[\operatorname{(y) }{{x}^{2}}+2 x+3\]
\[\operatorname{(\Delta ) }-8\]
\[\operatorname{(I) }\frac{\operatorname{atan}\left( \frac{2 x+2}{{{2}^{\frac{3}{2}}}}\right) }{\sqrt{2}}\]
\[\operatorname{ }\]
\[\operatorname{ }\]
Created with wxMaxima.
The source of this Maxima session can be downloaded here.