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