SymPy Gamma

Time 2021-11-06 14:02:28

Web Name: SymPy Gamma

WebSite: http://www.sympygamma.com

ID:223648

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SymPy,Gamma,

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Main About SymPy Live SymPy Gamma Examples Random Example Arithmetic Fractions Simplify fractions 242/33 Rationalize repeating decimals 0.[123] Approximations pi E exp(pi) Algebra x (x+2)/((x+3)(x-4)) simplify((x**2 - 4)/((x+3)(x-2))) Polynomial and Rational Functions Polynomial division div(x**2 - 4 + x, x-2) Greatest common divisor gcd(2*x**2 + 6*x, 12*x) and least common multiple lcm(2*x**2 + 6*x, 12*x) Factorization factor(x**4/2 + 5*x**3/12 - x**2/3) Multivariate factorization factor(x**2 + 4*x*y + 4*y**2) Symbolic roots solve(x**2 + 4*x*y + 4*y**2) solve(x**2 + 4*x*y + 4*y**2, y) Complex roots solve(x**2 + 4*x + 181, x) Irrational roots solve(x**3 + 4*x + 181, x) Systems of equations solve_poly_system([y**2 - x**3 + 1, y*x], x, y) Trigonometry sin(2x) tan(1 + x) Calculus Limits limit(tan(x), x, pi/2) limit(tan(x), x, pi/2, dir="-") Derivatives Derive the product rule diff(f(x)*g(x)*h(x)) as well as the quotient rule diff(f(x)/g(x)) Get steps for derivatives diff((sin(x) * x^2) / (1 + tan(cot(x)))) Multiple ways to derive functions diff(cot(xy), y) Implicit derivatives, too diff(y(x)^2 - 5sin(x), x) Integrals integrate(tan(x)) Multiple variables integrate(2*x + y, y) Limits of integration integrate(2*x + y, (x, 1, 3)) integrate(2*x + y, (x, 1, 3), (y, 2, 4)) Improper integrals integrate(tan(x), (x, 0, pi/2)) Exact answers integrate(1/(x**2 + 1), (x, 0, oo)) Get steps for integrals integrate(exp(x) / (1 + exp(2x))) integrate(1 /((x+1)(x+3)(x+5))) integrate((2x+3)**7) Series series(sin(x), x, pi/2) Number Theory 1006! factorint(12321) Calculate the 42^nd prime prime(42) Calculate \( \varphi(x) \), the Euler totient function totient(42) isprime(12321) First prime greater than 42 nextprime(42) Diophantine Equations diophantine(x**2 - 4*x*y + 8*y**2 - 3*x + 7*y - 5) diophantine(2*x + 3*y - 5) diophantine(3*x**2 + 4*y**2 - 5*z**2 + 4*x*y - 7*y*z + 7*z*x) Discrete Mathematics Boolean Logic (x | y) 2013-2021 SymPy Development Team. This project is Open Source: SymPy Gamma on Github.

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