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)

$\frac{d}{d x}\left(- \frac{1}{4} \log{\left (x + 3 \right )} + \frac{1}{8} \log{\left (x^{2} + 6 x + 5 \right )}\right) =$

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

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