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Popular Calculus >

integral of (3e^x+2)

Solution

\int (3 e^{x} + 2) d x

Solution

3 e^{x} + 2 x + C

Solution steps

\int 3 e^{x} + 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 2 d x

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

\int 2 d x = 2 x

= 3 e^{x} + 2 x

Add a constant to the solution

= 3 e^{x} + 2 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (3e^x+2) ?
The integral of (3e^x+2) is 3e^x+2x+C