What is the integral of 3e^x+pi^2 ?

The integral of 3e^x+pi^2 is 3e^x+pi^2x+C

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integral of 3e^x+pi^2

\int 3 e^{x} + π^{2} d x

3 e^{x} + π^{2} x + C

Solution steps

\int 3 e^{x} + π^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 e^{x} d x + \int π^{2} d x

\int 3 e^{x} d x = 3 e^{x}

\int π^{2} d x = π^{2} x

= 3 e^{x} + π^{2} x

Add a constant to the solution

= 3 e^{x} + π^{2} x + C

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