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- import sympy
- a = sympy.Rational(5, 3)
- a **= 60
- print(a)
- x = sympy.Symbol('x')
- y = sympy.Symbol('y')
- p = y + y * 2 * y * y
- print(p)
- sympy.plotting.plot(p, (y, -3, 3))
- print(p * sympy.sqrt(p))
- p = (x + x * y) / x
- p = sympy.sin(x)**2 + sympy.cos(x)**2
- p = sympy.cos(sympy.pi / 3 - x)
- print(p, "=", sympy.simplify(p))
- p = (x + 5) ** 7
- print(p.subs(x, 10))
- print(p.subs(x, x**2))
- q = sympy.expand(p)
- print(q)
- print(sympy.factor(6 * x ** 2 + 5 * x + 1))
- print(sympy.factor(sympy.log(x) ** 2 - x ** 2))
- print(sympy.sqrt(x) + x ** sympy.Rational(1/2))
- print(sympy.factor(sympy.expand((x + 1) * (x + 0.3))), "BUG")
- print(sympy.limit(sympy.sin(x * y) / x, x, 0))
- print(sympy.limit(1 / x, x, 0, dir="-"))
- p = sympy.sin(x)**2 + sympy.cos(x)**2
- q = sympy.cos(x)**2 + sympy.sin(x)**2
- print(p == q)
- print(sympy.diff(sympy.tan(x) ** 2))
- print(sympy.series(sympy.cos(x), n=9))
- p = sympy.integrate(x ** 2 + 1)
- p = sympy.integrate(1 / x ** 2, (x, 5, sympy.oo))
- p = sympy.integrate(sympy.exp(-x**2), (x, -sympy.oo, sympy.oo))
- p = sympy.integrate(sympy.exp(sympy.tan(x)), (x, 3, 4))
- print(p)
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