Sonsuz uzun int
In [4]:
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from sympy import *
from sympy import *
In [5]:
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x, d = symbols('x d', real=True)
x, d = symbols('x d', real=True)
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init_printing(use_unicode=False, wrap_line=False, no_global=True)
integrate(1/(x**2+d**2)**(3/2), x)
init_printing(use_unicode=False, wrap_line=False, no_global=True) integrate(1/(x**2+d**2)**(3/2), x)
Out[8]:
$\displaystyle \frac{0.564189583547756 \sqrt{\pi} x}{d^{3.0} \sqrt{1 + \frac{x^{2}}{d^{2}}}}$
$\displaystyle 0.564189583547756 \sqrt{\pi}$ değeri yaklaşık olarak 1'e eşittir. Yani sonuç aşağıdaki gibidir: $$\frac{x}{d^2\sqrt{x^2+d^2}}$$