1437.sagews

x = var('x')
p1 = parametric_plot((cos(x),sin(x)),(x,0,pi),color='red')
p2 =parametric_plot((1/2-(1/2*cos(x)),1/2*sin(x)),(x,0,pi),color='black')
p3 =parametric_plot((1/2*cos(x)-1/2,1/2*sin(x)),(x,-pi,0),color='red')
p4 = parametric_plot((cos(x),sin(x)),(x,-pi,0),color='black')
p5 = parametric_plot((1/2-(1/8*cos(x)),1/8*sin(x)),(x,-pi,pi),color='black')
p6 = parametric_plot(((1/8*cos(x)-1/2),1/8*sin(x)),(x,-pi,pi),color='black')
show(p1+p2+p3+p4+p5+p6, aspect_ratio=1,axes=false)

<b>asia</b>
<span style="color: #FFAF81;"><b>Uwaga!!!</b></span>
<br/>
<b>21 stycznia</b> (czwartek) konsultacje 
odbd si w sali <b>4M01</b>.

asia Uwaga!!!
21 stycznia (czwartek) konsultacje odbd si w sali 4M01.

\int x^2 \arctan x dx \displaystyle\lim_{n\to\infty}

integrate(x^2,x,0,1)

1/3

integrate(atan(x),x)

x*atan(x)-log(x^2+1)/2

p:diff(x*log(x+2),x,4);
p,factor;
p,expand

8/(x+2)^3-6*x/(x+2)^4 2*(x+8)/(x+2)^4 8/(x^3+6*x^2+12*x+8)-6*x/(x^4+8*x^3+24*x^2+32*x+16)