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integrate (exp (x)*cos (x),x)
sqrt(2)*exp(x)*sin(x + pi/4)/2
integrate(exp(x)*cos(x), x)
plot(exp(x)*sin(x)/2 + exp(x)*cos(x)/2)
solve(exp(x)*sin(x)/2 + exp(x)*cos(x)/2, x)
diff(exp(x)*sin(x)/2 + exp(x)*cos(x)/2, x)
series(exp(x)*sin(x)/2 + exp(x)*cos(x)/2, x, 0, 10)
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