Input:
integrate(cos(x)*e^x+sin(x)*e^x)
Write:
`integrate(cos(x)*e^x+sin(x)*e^x)`
Compute:
$$\int (cos(x)\ {e}^{x}+sin(x)\ {e}^{x})\ dx$$
Output:
$$\int (cos(x)\ {e}^{x}+sin(x)\ {e}^{x})\ dx== \frac{1}{2}\ exp(x)\ (cos(x)+sin(x))+\frac{1}{2}\ exp(x)\ (-cos(x)+sin(x))$$
Result: $$\frac{1}{2}\ exp(x)\ (cos(x)+sin(x))+\frac{1}{2}\ exp(x)\ (-cos(x)+sin(x))$$
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