SymPy Gamma

SymPy:

integrate (exp (x)*cos (x),x)

$\int e^{x} \cos{\left(x \right)}\, dx$

sqrt(2)*exp(x)*sin(x + pi/4)/2

$\frac{\sqrt{2} e^{x} \sin{\left(x + \frac{\pi}{4} \right)}}{2}$

integrate(exp(x)*cos(x), x)

Plot:

plot(exp(x)*sin(x)/2 + exp(x)*cos(x)/2)

Roots:

solve(exp(x)*sin(x)/2 + exp(x)*cos(x)/2, x)

$x =$

diff(exp(x)*sin(x)/2 + exp(x)*cos(x)/2, x)

$\frac{d}{d x} \left(\frac{e^{x} \sin{\left(x \right)}}{2} + \frac{e^{x} \cos{\left(x \right)}}{2}\right) =$

series(exp(x)*sin(x)/2 + exp(x)*cos(x)/2, x, 0, 10)

See what Wolfram|Alpha has to say.

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