SymPy Gamma

SymPy:

integrate (tan (x))

$\int \tan{\left (x \right )}\, dx$

-log(-cos(x)**2)/2

$- \frac{1}{2} \log{\left (- \cos^{2}{\left (x \right )} \right )}$

integrate(tan(x), x)

Plot:

plot(-log(sin(x)**2 - 1)/2)

Roots:

solve(-log(sin(x)**2 - 1)/2, x)

$x =$

diff(-log(sin(x)**2 - 1)/2, x)

$\frac{d}{d x}\left(- \frac{1}{2} \log{\left (\sin^{2}{\left (x \right )} - 1 \right )}\right) =$

series(-log(sin(x)**2 - 1)/2, x, 0, 10)

See what Wolfram|Alpha has to say.

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