SymPy Gamma

SymPy:

integrate (1/((x+1)*(x+3)*(x+5)))

$\int \frac{1}{\left(x + 1\right) \left(x + 3\right) \left(x + 5\right)}\, dx$

integrate(1/((x + 1)*(x + 3)*(x + 5)), x)

Plot:

plot(-log(x + 3)/4 + log(x**2 + 6*x + 5)/8)

Roots:

solve(-log(x + 3)/4 + log(x**2 + 6*x + 5)/8, x)

$x =$

diff(-log(x + 3)/4 + log(x**2 + 6*x + 5)/8, x)

$\frac{d}{d x} \left(- \frac{\log{\left(x + 3 \right)}}{4} + \frac{\log{\left(x^{2} + 6 x + 5 \right)}}{8}\right) =$

series(-log(x + 3)/4 + log(x**2 + 6*x + 5)/8, x, 0, 10)

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