The required solution of the integral is ∫(xe²+e²)dx = xe²/2+e^x + C
Differentiating exponential function
The differential of an exponential function will result in an exponential function.
Given the integral function shown below;
∫xe^2+e^x dx
Since e^2 is a constant, hence the integral form of the function is given as:
∫(xe²+e²)dx = ∫xe²dx+∫e^x dx
∫(xe²+e²)dx = xe²/2+e^x + C
Note that a constant of integration is always added to the solution of an integration. The required solution of the integral is ∫(xe²+e²)dx = xe²/2+e^x + C
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