Maxima (software)

bfloat(sqrt(2)), fpprec=40;

${\displaystyle 1.41421356237309504880168872420969807857\cdot 10^{0}}$

f(x):=x^3$
f(4);

${\displaystyle 64}$

expand((a-b)^3);

${\displaystyle -b^{3}+3ab^{2}-3a^{2}b+a^{3}}$

factor(x^2-1);

${\displaystyle (x-1)(x+1)}$

${\displaystyle x^{2}+a\ x+1=0}$

solve(x^2 + a*x + 1, x);

${\displaystyle [x=-{\Biggl (}{\frac {{\sqrt {a^{2}-4}}+a}{2}}{\Biggr )},x={\frac {{\sqrt {a^{2}-4}}-a}{2}}]}$

${\displaystyle \cos x=x}$

find_root(cos(x) = x, x, 0, 1);

${\displaystyle 0.7390851332151607}$

bf_find_root(cos(x) = x, x, 0, 1), fpprec = 50;

${\displaystyle 7.3908513321516064165531208767387340401341175890076\cdot 10^{-1}}$

${\displaystyle \int x^{2}+\cos x\ dx}$

integrate(x^2 + cos(x), x);

${\displaystyle \sin x+{\frac {x^{3}}{3}}}$

${\displaystyle \int _{0}^{1}{\frac {1}{x^{3}+1}}\,dx}$

integrate(1/(x^3 + 1), x, 0, 1), ratsimp;

${\displaystyle {\frac {{\sqrt {3}}\log 2+\pi }{3^{\frac {3}{2}}}}}$

${\displaystyle \int _{0}^{2}\sin(\sin(x))\,dx}$

quad_qags(sin(sin(x)), x, 0, 2)[1];

${\displaystyle 1.247056058244003}$

${\displaystyle {d^{3} \over dx^{3}}\cos ^{2}x}$

diff(cos(x)^2, x, 3);

${\displaystyle 8\cos {x}\sin {x}}$

${\displaystyle \lim _{x\to \infty }{\frac {1+\sinh {x}}{e^{x}}}}$

limit((1+sinh(x))/exp(x), x, inf);

${\displaystyle {\frac {1}{2}}}$

primes(10, 20);

${\displaystyle [11,13,17,19]}$

fib(10);

${\displaystyle 55}$

${\displaystyle \sum _{x=1}^{\infty }{\frac {1}{x^{2}}}}$

sum(1/x^2, x, 1, inf), simpsum;

${\displaystyle {\frac {\pi ^{2}}{6}}}$

taylor(sin(x), x, 0, 9);

${\displaystyle x-{\frac {x^{3}}{6}}+{\frac {x^{5}}{120}}-{\frac {x^{7}}{5040}}+{\frac {x^{9}}{362880}}}$

niceindices(powerseries(cos(x), x, 0));

${\displaystyle \sum _{i=0}^{\infty }{\frac {(-1)^{i}x^{2i}}{(2i)!}}}$

bessel_j(0, 4.5);

${\displaystyle -0.3205425089851214}$

airy_ai(1.5);

${\displaystyle 0.07174949700810543}$