Downloading...
Calculs
1+1/2+1/3+1/4+1/5+1/6
10!
evalf(sqrt(2))
evalf(sqrt(2),5)
floor(3pi/4)
sum(1/n^2,n,1,10)
dfc(sqrt(2))
lncollect(5ln(2)-ln(4))
Arithmétique
ifactor(60)
ifactors(60)
idivis(60)
gcd(100,60)
lcm(180,120)
iegcd(127,64)
is_prime(10003)
nextprime(10000)
Algèbre
factor(x+x+x+x)
expand((a+b)^3)
factor(x^2+5x-1)
partfrac(1/(x^2*(x+1)))
tsimplify(1/x+x^2-1)
ratnormal(1/sqrt(x)+x^3+1)
solve(x^2-3x+1=0)
solve((x^2-2)*ln(x) > 0)
linsolve([2*x+y=-1,3x-7y=1],[x,y])
linsolve([2*x+y+z=1,x+y+2*z=1,x+2*y+z=4],[x,y,z])
Fonctions
plot(ln(x),x=-1..10)
diff(x^2+3/x-ln(x))
integrate(x^2+ln(x))
integrate(1/x,x,1,10)
limit(x*ln(x),x,0)
limit(exp(x)/x^2,x,+inf)
desolve(y'+3*y=4)
desolve(y'+3*y=4, [0,4])
Trigonométrie
texpand(cos(a+b))
tlin(2cos(x)*cos(y))
tlin(cos(x)^3)
tcollect(cos(x)+sin(x))
Courbes paramétrées
plotpolar(sqrt(t),t=0..20)
plotparam([t-sin(t),1-cos(t)],t=0..2*pi)
plotparam([t-sin(t),1-cos(t)],t=0..2*pi)
plotparam([2*cos(t)*(1+cos(t)),2*sin(t)*(1+cos(t))],t=0..2*pi)
Surfaces et courbes 3D
plotparam([v*cos(u),v*sin(u),v],[u=-pi..pi,v=-3..3])
plotfunc(x^2+y^2, [x=-10..10,y=-10..10]);
Matrices
A := [ [1,2], [3,4]];
B := [ [5,-1], [0,2]];
A*B
A := [ [1,2], [3,4]];
A^(-1)